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Finding the Third Proportional to 153,012.38 and 330,658.88

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Solution

The third proportional to 153,012.38 and 330,658.88 is: 714,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,012.38 : 330,658.88 = 330,658.88 : x
  2. Step 2: Convert to fraction form
    153,012.38/330,658.88 = 330,658.88/x
  3. Step 3: Cross multiply
    153,012.38x = 330,658.88 × 330,658.88
  4. Step 4: Simplify right side
    153,012.38x = 109,335,291,616.27
  5. Step 5: Solve for x
    x = 109,335,291,616.27/153,012.38
  6. Step 6: Final answer
    x = 714,551.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.