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Finding the Third Proportional to 142,656.75 and 217,792.13

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Solution

The third proportional to 142,656.75 and 217,792.13 is: 332,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,656.75 : 217,792.13 = 217,792.13 : x
  2. Step 2: Convert to fraction form
    142,656.75/217,792.13 = 217,792.13/x
  3. Step 3: Cross multiply
    142,656.75x = 217,792.13 × 217,792.13
  4. Step 4: Simplify right side
    142,656.75x = 47,433,409,712.02
  5. Step 5: Solve for x
    x = 47,433,409,712.02/142,656.75
  6. Step 6: Final answer
    x = 332,500.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.