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Finding the Third Proportional to 157,865.20 and 243,025.31

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Solution

The third proportional to 157,865.20 and 243,025.31 is: 374,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,865.20 : 243,025.31 = 243,025.31 : x
  2. Step 2: Convert to fraction form
    157,865.20/243,025.31 = 243,025.31/x
  3. Step 3: Cross multiply
    157,865.20x = 243,025.31 × 243,025.31
  4. Step 4: Simplify right side
    157,865.20x = 59,061,302,515.72
  5. Step 5: Solve for x
    x = 59,061,302,515.72/157,865.20
  6. Step 6: Final answer
    x = 374,124.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.