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Finding the Third Proportional to 189,897.75 and 416,029.50

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Solution

The third proportional to 189,897.75 and 416,029.50 is: 911,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,897.75 : 416,029.50 = 416,029.50 : x
  2. Step 2: Convert to fraction form
    189,897.75/416,029.50 = 416,029.50/x
  3. Step 3: Cross multiply
    189,897.75x = 416,029.50 × 416,029.50
  4. Step 4: Simplify right side
    189,897.75x = 173,080,544,870.25
  5. Step 5: Solve for x
    x = 173,080,544,870.25/189,897.75
  6. Step 6: Final answer
    x = 911,440.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.