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Finding the Third Proportional to 153,882 and 230,207.63

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Solution

The third proportional to 153,882 and 230,207.63 is: 344,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,882 : 230,207.63 = 230,207.63 : x
  2. Step 2: Convert to fraction form
    153,882/230,207.63 = 230,207.63/x
  3. Step 3: Cross multiply
    153,882x = 230,207.63 × 230,207.63
  4. Step 4: Simplify right side
    153,882x = 52,995,550,608.14
  5. Step 5: Solve for x
    x = 52,995,550,608.14/153,882
  6. Step 6: Final answer
    x = 344,390.84

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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.