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Finding the Third Proportional to 152,262.75 and 223,417.13

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Solution

The third proportional to 152,262.75 and 223,417.13 is: 327,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,262.75 : 223,417.13 = 223,417.13 : x
  2. Step 2: Convert to fraction form
    152,262.75/223,417.13 = 223,417.13/x
  3. Step 3: Cross multiply
    152,262.75x = 223,417.13 × 223,417.13
  4. Step 4: Simplify right side
    152,262.75x = 49,915,211,743.27
  5. Step 5: Solve for x
    x = 49,915,211,743.27/152,262.75
  6. Step 6: Final answer
    x = 327,822.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.