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Finding the Third Proportional to 223,117.13 and 339,904.88

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Solution

The third proportional to 223,117.13 and 339,904.88 is: 517,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,117.13 : 339,904.88 = 339,904.88 : x
  2. Step 2: Convert to fraction form
    223,117.13/339,904.88 = 339,904.88/x
  3. Step 3: Cross multiply
    223,117.13x = 339,904.88 × 339,904.88
  4. Step 4: Simplify right side
    223,117.13x = 115,535,324,048.77
  5. Step 5: Solve for x
    x = 115,535,324,048.77/223,117.13
  6. Step 6: Final answer
    x = 517,823.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.