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Finding the Third Proportional to 162,587.25 and 255,387.38

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Solution

The third proportional to 162,587.25 and 255,387.38 is: 401,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,587.25 : 255,387.38 = 255,387.38 : x
  2. Step 2: Convert to fraction form
    162,587.25/255,387.38 = 255,387.38/x
  3. Step 3: Cross multiply
    162,587.25x = 255,387.38 × 255,387.38
  4. Step 4: Simplify right side
    162,587.25x = 65,222,711,309.39
  5. Step 5: Solve for x
    x = 65,222,711,309.39/162,587.25
  6. Step 6: Final answer
    x = 401,155.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.