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Finding the Third Proportional to 205,924 and 328,870

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Solution

The third proportional to 205,924 and 328,870 is: 525,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,924 : 328,870 = 328,870 : x
  2. Step 2: Convert to fraction form
    205,924/328,870 = 328,870/x
  3. Step 3: Cross multiply
    205,924x = 328,870 × 328,870
  4. Step 4: Simplify right side
    205,924x = 108,155,476,900
  5. Step 5: Solve for x
    x = 108,155,476,900/205,924
  6. Step 6: Final answer
    x = 525,220.36

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