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Finding the Third Proportional to 157,069.13 and 224,349.75

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Solution

The third proportional to 157,069.13 and 224,349.75 is: 320,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,069.13 : 224,349.75 = 224,349.75 : x
  2. Step 2: Convert to fraction form
    157,069.13/224,349.75 = 224,349.75/x
  3. Step 3: Cross multiply
    157,069.13x = 224,349.75 × 224,349.75
  4. Step 4: Simplify right side
    157,069.13x = 50,332,810,325.06
  5. Step 5: Solve for x
    x = 50,332,810,325.06/157,069.13
  6. Step 6: Final answer
    x = 320,450.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.