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Finding the Third Proportional to 152,565.75 and 229,962.38

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Solution

The third proportional to 152,565.75 and 229,962.38 is: 346,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,565.75 : 229,962.38 = 229,962.38 : x
  2. Step 2: Convert to fraction form
    152,565.75/229,962.38 = 229,962.38/x
  3. Step 3: Cross multiply
    152,565.75x = 229,962.38 × 229,962.38
  4. Step 4: Simplify right side
    152,565.75x = 52,882,693,915.64
  5. Step 5: Solve for x
    x = 52,882,693,915.64/152,565.75
  6. Step 6: Final answer
    x = 346,622.32

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Why These Related Problems?

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