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Finding the Third Proportional to 157,297.50 and 336,737.25

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Solution

The third proportional to 157,297.50 and 336,737.25 is: 720,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,297.50 : 336,737.25 = 336,737.25 : x
  2. Step 2: Convert to fraction form
    157,297.50/336,737.25 = 336,737.25/x
  3. Step 3: Cross multiply
    157,297.50x = 336,737.25 × 336,737.25
  4. Step 4: Simplify right side
    157,297.50x = 113,391,975,537.56
  5. Step 5: Solve for x
    x = 113,391,975,537.56/157,297.50
  6. Step 6: Final answer
    x = 720,875.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.