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Finding the Third Proportional to 221,590.13 and 364,053.38

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Solution

The third proportional to 221,590.13 and 364,053.38 is: 598,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,590.13 : 364,053.38 = 364,053.38 : x
  2. Step 2: Convert to fraction form
    221,590.13/364,053.38 = 364,053.38/x
  3. Step 3: Cross multiply
    221,590.13x = 364,053.38 × 364,053.38
  4. Step 4: Simplify right side
    221,590.13x = 132,534,859,848.89
  5. Step 5: Solve for x
    x = 132,534,859,848.89/221,590.13
  6. Step 6: Final answer
    x = 598,108.15

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.