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Finding the Third Proportional to 131,525 and 287,650

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Solution

The third proportional to 131,525 and 287,650 is: 629,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,525 : 287,650 = 287,650 : x
  2. Step 2: Convert to fraction form
    131,525/287,650 = 287,650/x
  3. Step 3: Cross multiply
    131,525x = 287,650 × 287,650
  4. Step 4: Simplify right side
    131,525x = 82,742,522,500
  5. Step 5: Solve for x
    x = 82,742,522,500/131,525
  6. Step 6: Final answer
    x = 629,101.10

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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.