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Finding the Third Proportional to 186,490.50 and 286,176.75

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Solution

The third proportional to 186,490.50 and 286,176.75 is: 439,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,490.50 : 286,176.75 = 286,176.75 : x
  2. Step 2: Convert to fraction form
    186,490.50/286,176.75 = 286,176.75/x
  3. Step 3: Cross multiply
    186,490.50x = 286,176.75 × 286,176.75
  4. Step 4: Simplify right side
    186,490.50x = 81,897,132,240.56
  5. Step 5: Solve for x
    x = 81,897,132,240.56/186,490.50
  6. Step 6: Final answer
    x = 439,149.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.