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Finding the Third Proportional to 256,851 and 402,909.19

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Solution

The third proportional to 256,851 and 402,909.19 is: 632,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,851 : 402,909.19 = 402,909.19 : x
  2. Step 2: Convert to fraction form
    256,851/402,909.19 = 402,909.19/x
  3. Step 3: Cross multiply
    256,851x = 402,909.19 × 402,909.19
  4. Step 4: Simplify right side
    256,851x = 162,335,813,371.91
  5. Step 5: Solve for x
    x = 162,335,813,371.91/256,851
  6. Step 6: Final answer
    x = 632,023.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.