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Finding the Third Proportional to 153,359 and 232,802

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Solution

The third proportional to 153,359 and 232,802 is: 353,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,359 : 232,802 = 232,802 : x
  2. Step 2: Convert to fraction form
    153,359/232,802 = 232,802/x
  3. Step 3: Cross multiply
    153,359x = 232,802 × 232,802
  4. Step 4: Simplify right side
    153,359x = 54,196,771,204
  5. Step 5: Solve for x
    x = 54,196,771,204/153,359
  6. Step 6: Final answer
    x = 353,398.05

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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.