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Finding the Third Proportional to 221,710.22 and 338,101.03

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Solution

The third proportional to 221,710.22 and 338,101.03 is: 515,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,710.22 : 338,101.03 = 338,101.03 : x
  2. Step 2: Convert to fraction form
    221,710.22/338,101.03 = 338,101.03/x
  3. Step 3: Cross multiply
    221,710.22x = 338,101.03 × 338,101.03
  4. Step 4: Simplify right side
    221,710.22x = 114,312,307,332.31
  5. Step 5: Solve for x
    x = 114,312,307,332.31/221,710.22
  6. Step 6: Final answer
    x = 515,593.32

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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.