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Finding the Third Proportional to 221,572.69 and 322,669.69

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Solution

The third proportional to 221,572.69 and 322,669.69 is: 469,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,572.69 : 322,669.69 = 322,669.69 : x
  2. Step 2: Convert to fraction form
    221,572.69/322,669.69 = 322,669.69/x
  3. Step 3: Cross multiply
    221,572.69x = 322,669.69 × 322,669.69
  4. Step 4: Simplify right side
    221,572.69x = 104,115,727,231.35
  5. Step 5: Solve for x
    x = 104,115,727,231.35/221,572.69
  6. Step 6: Final answer
    x = 469,894.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.