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Finding the Third Proportional to 153,306 and 230,151

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Solution

The third proportional to 153,306 and 230,151 is: 345,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,306 : 230,151 = 230,151 : x
  2. Step 2: Convert to fraction form
    153,306/230,151 = 230,151/x
  3. Step 3: Cross multiply
    153,306x = 230,151 × 230,151
  4. Step 4: Simplify right side
    153,306x = 52,969,482,801
  5. Step 5: Solve for x
    x = 52,969,482,801/153,306
  6. Step 6: Final answer
    x = 345,514.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.