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Finding the Third Proportional to 152,218.13 and 244,588.50

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Solution

The third proportional to 152,218.13 and 244,588.50 is: 393,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,218.13 : 244,588.50 = 244,588.50 : x
  2. Step 2: Convert to fraction form
    152,218.13/244,588.50 = 244,588.50/x
  3. Step 3: Cross multiply
    152,218.13x = 244,588.50 × 244,588.50
  4. Step 4: Simplify right side
    152,218.13x = 59,823,534,332.25
  5. Step 5: Solve for x
    x = 59,823,534,332.25/152,218.13
  6. Step 6: Final answer
    x = 393,011.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.