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Finding the Third Proportional to 152,978.50 and 215,046.88

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Solution

The third proportional to 152,978.50 and 215,046.88 is: 302,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,978.50 : 215,046.88 = 215,046.88 : x
  2. Step 2: Convert to fraction form
    152,978.50/215,046.88 = 215,046.88/x
  3. Step 3: Cross multiply
    152,978.50x = 215,046.88 × 215,046.88
  4. Step 4: Simplify right side
    152,978.50x = 46,245,158,447.27
  5. Step 5: Solve for x
    x = 46,245,158,447.27/152,978.50
  6. Step 6: Final answer
    x = 302,298.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.