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Finding the Third Proportional to 153,265.92 and 229,950.14

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Solution

The third proportional to 153,265.92 and 229,950.14 is: 345,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,265.92 : 229,950.14 = 229,950.14 : x
  2. Step 2: Convert to fraction form
    153,265.92/229,950.14 = 229,950.14/x
  3. Step 3: Cross multiply
    153,265.92x = 229,950.14 × 229,950.14
  4. Step 4: Simplify right side
    153,265.92x = 52,877,067,173.46
  5. Step 5: Solve for x
    x = 52,877,067,173.46/153,265.92
  6. Step 6: Final answer
    x = 345,002.11

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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.