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Finding the Third Proportional to 157,657.50 and 244,777.50

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Solution

The third proportional to 157,657.50 and 244,777.50 is: 380,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,657.50 : 244,777.50 = 244,777.50 : x
  2. Step 2: Convert to fraction form
    157,657.50/244,777.50 = 244,777.50/x
  3. Step 3: Cross multiply
    157,657.50x = 244,777.50 × 244,777.50
  4. Step 4: Simplify right side
    157,657.50x = 59,916,024,506.25
  5. Step 5: Solve for x
    x = 59,916,024,506.25/157,657.50
  6. Step 6: Final answer
    x = 380,039.16

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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.