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Finding the Third Proportional to 152,290.13 and 223,239.38

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Solution

The third proportional to 152,290.13 and 223,239.38 is: 327,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,290.13 : 223,239.38 = 223,239.38 : x
  2. Step 2: Convert to fraction form
    152,290.13/223,239.38 = 223,239.38/x
  3. Step 3: Cross multiply
    152,290.13x = 223,239.38 × 223,239.38
  4. Step 4: Simplify right side
    152,290.13x = 49,835,818,550.39
  5. Step 5: Solve for x
    x = 49,835,818,550.39/152,290.13
  6. Step 6: Final answer
    x = 327,242.61

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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.