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Finding the Third Proportional to 251,475.75 and 542,155.50

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Solution

The third proportional to 251,475.75 and 542,155.50 is: 1,168,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,475.75 : 542,155.50 = 542,155.50 : x
  2. Step 2: Convert to fraction form
    251,475.75/542,155.50 = 542,155.50/x
  3. Step 3: Cross multiply
    251,475.75x = 542,155.50 × 542,155.50
  4. Step 4: Simplify right side
    251,475.75x = 293,932,586,180.25
  5. Step 5: Solve for x
    x = 293,932,586,180.25/251,475.75
  6. Step 6: Final answer
    x = 1,168,830.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.