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Finding the Third Proportional to 210,084.75 and 325,840.50

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Solution

The third proportional to 210,084.75 and 325,840.50 is: 505,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,084.75 : 325,840.50 = 325,840.50 : x
  2. Step 2: Convert to fraction form
    210,084.75/325,840.50 = 325,840.50/x
  3. Step 3: Cross multiply
    210,084.75x = 325,840.50 × 325,840.50
  4. Step 4: Simplify right side
    210,084.75x = 106,172,031,440.25
  5. Step 5: Solve for x
    x = 106,172,031,440.25/210,084.75
  6. Step 6: Final answer
    x = 505,377.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.