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Finding the Third Proportional to 152,639.44 and 224,388.35

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Solution

The third proportional to 152,639.44 and 224,388.35 is: 329,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,639.44 : 224,388.35 = 224,388.35 : x
  2. Step 2: Convert to fraction form
    152,639.44/224,388.35 = 224,388.35/x
  3. Step 3: Cross multiply
    152,639.44x = 224,388.35 × 224,388.35
  4. Step 4: Simplify right side
    152,639.44x = 50,350,132,316.94
  5. Step 5: Solve for x
    x = 50,350,132,316.94/152,639.44
  6. Step 6: Final answer
    x = 329,863.19

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Why These Related Problems?

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