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Finding the Third Proportional to 140,590.69 and 303,658.88

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Solution

The third proportional to 140,590.69 and 303,658.88 is: 655,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,590.69 : 303,658.88 = 303,658.88 : x
  2. Step 2: Convert to fraction form
    140,590.69/303,658.88 = 303,658.88/x
  3. Step 3: Cross multiply
    140,590.69x = 303,658.88 × 303,658.88
  4. Step 4: Simplify right side
    140,590.69x = 92,208,712,366.27
  5. Step 5: Solve for x
    x = 92,208,712,366.27/140,590.69
  6. Step 6: Final answer
    x = 655,866.43

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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.