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Finding the Third Proportional to 244,565.86 and 321,602.91

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Solution

The third proportional to 244,565.86 and 321,602.91 is: 422,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,565.86 : 321,602.91 = 321,602.91 : x
  2. Step 2: Convert to fraction form
    244,565.86/321,602.91 = 321,602.91/x
  3. Step 3: Cross multiply
    244,565.86x = 321,602.91 × 321,602.91
  4. Step 4: Simplify right side
    244,565.86x = 103,428,429,308.45
  5. Step 5: Solve for x
    x = 103,428,429,308.45/244,565.86
  6. Step 6: Final answer
    x = 422,906.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.