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Finding the Third Proportional to 220,092.19 and 349,836.47

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Solution

The third proportional to 220,092.19 and 349,836.47 is: 556,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,092.19 : 349,836.47 = 349,836.47 : x
  2. Step 2: Convert to fraction form
    220,092.19/349,836.47 = 349,836.47/x
  3. Step 3: Cross multiply
    220,092.19x = 349,836.47 × 349,836.47
  4. Step 4: Simplify right side
    220,092.19x = 122,385,554,867.47
  5. Step 5: Solve for x
    x = 122,385,554,867.47/220,092.19
  6. Step 6: Final answer
    x = 556,064.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.