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Finding the Third Proportional to 152,344 and 232,088

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Solution

The third proportional to 152,344 and 232,088 is: 353,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,344 : 232,088 = 232,088 : x
  2. Step 2: Convert to fraction form
    152,344/232,088 = 232,088/x
  3. Step 3: Cross multiply
    152,344x = 232,088 × 232,088
  4. Step 4: Simplify right side
    152,344x = 53,864,839,744
  5. Step 5: Solve for x
    x = 53,864,839,744/152,344
  6. Step 6: Final answer
    x = 353,573.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.