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Finding the Third Proportional to 152,416.69 and 224,233.31

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Solution

The third proportional to 152,416.69 and 224,233.31 is: 329,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,416.69 : 224,233.31 = 224,233.31 : x
  2. Step 2: Convert to fraction form
    152,416.69/224,233.31 = 224,233.31/x
  3. Step 3: Cross multiply
    152,416.69x = 224,233.31 × 224,233.31
  4. Step 4: Simplify right side
    152,416.69x = 50,280,578,434.72
  5. Step 5: Solve for x
    x = 50,280,578,434.72/152,416.69
  6. Step 6: Final answer
    x = 329,888.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.