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Finding the Third Proportional to 84,585 and 185,913

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Solution

The third proportional to 84,585 and 185,913 is: 408,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,585 : 185,913 = 185,913 : x
  2. Step 2: Convert to fraction form
    84,585/185,913 = 185,913/x
  3. Step 3: Cross multiply
    84,585x = 185,913 × 185,913
  4. Step 4: Simplify right side
    84,585x = 34,563,643,569
  5. Step 5: Solve for x
    x = 34,563,643,569/84,585
  6. Step 6: Final answer
    x = 408,626.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.