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Finding the Third Proportional to 205,686.84 and 328,456.27

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Solution

The third proportional to 205,686.84 and 328,456.27 is: 524,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,686.84 : 328,456.27 = 328,456.27 : x
  2. Step 2: Convert to fraction form
    205,686.84/328,456.27 = 328,456.27/x
  3. Step 3: Cross multiply
    205,686.84x = 328,456.27 × 328,456.27
  4. Step 4: Simplify right side
    205,686.84x = 107,883,518,428.32
  5. Step 5: Solve for x
    x = 107,883,518,428.32/205,686.84
  6. Step 6: Final answer
    x = 524,503.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.