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Finding the Third Proportional to 157,357.13 and 237,349.13

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Solution

The third proportional to 157,357.13 and 237,349.13 is: 358,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,357.13 : 237,349.13 = 237,349.13 : x
  2. Step 2: Convert to fraction form
    157,357.13/237,349.13 = 237,349.13/x
  3. Step 3: Cross multiply
    157,357.13x = 237,349.13 × 237,349.13
  4. Step 4: Simplify right side
    157,357.13x = 56,334,607,138.27
  5. Step 5: Solve for x
    x = 56,334,607,138.27/157,357.13
  6. Step 6: Final answer
    x = 358,004.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.