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Finding the Third Proportional to 85,043.25 and 186,246

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Solution

The third proportional to 85,043.25 and 186,246 is: 407,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,043.25 : 186,246 = 186,246 : x
  2. Step 2: Convert to fraction form
    85,043.25/186,246 = 186,246/x
  3. Step 3: Cross multiply
    85,043.25x = 186,246 × 186,246
  4. Step 4: Simplify right side
    85,043.25x = 34,687,572,516
  5. Step 5: Solve for x
    x = 34,687,572,516/85,043.25
  6. Step 6: Final answer
    x = 407,881.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.