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Finding the Third Proportional to 152,540 and 233,350

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Solution

The third proportional to 152,540 and 233,350 is: 356,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,540 : 233,350 = 233,350 : x
  2. Step 2: Convert to fraction form
    152,540/233,350 = 233,350/x
  3. Step 3: Cross multiply
    152,540x = 233,350 × 233,350
  4. Step 4: Simplify right side
    152,540x = 54,452,222,500
  5. Step 5: Solve for x
    x = 54,452,222,500/152,540
  6. Step 6: Final answer
    x = 356,970.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.