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Finding the Third Proportional to 142,487 and 221,508.50

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Solution

The third proportional to 142,487 and 221,508.50 is: 344,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,487 : 221,508.50 = 221,508.50 : x
  2. Step 2: Convert to fraction form
    142,487/221,508.50 = 221,508.50/x
  3. Step 3: Cross multiply
    142,487x = 221,508.50 × 221,508.50
  4. Step 4: Simplify right side
    142,487x = 49,066,015,572.25
  5. Step 5: Solve for x
    x = 49,066,015,572.25/142,487
  6. Step 6: Final answer
    x = 344,354.33

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