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Finding the Third Proportional to 209,476.13 and 323,686.13

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Solution

The third proportional to 209,476.13 and 323,686.13 is: 500,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,476.13 : 323,686.13 = 323,686.13 : x
  2. Step 2: Convert to fraction form
    209,476.13/323,686.13 = 323,686.13/x
  3. Step 3: Cross multiply
    209,476.13x = 323,686.13 × 323,686.13
  4. Step 4: Simplify right side
    209,476.13x = 104,772,707,517.52
  5. Step 5: Solve for x
    x = 104,772,707,517.52/209,476.13
  6. Step 6: Final answer
    x = 500,165.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.