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Finding the Third Proportional to 186,432.75 and 286,927.88

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Solution

The third proportional to 186,432.75 and 286,927.88 is: 441,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,432.75 : 286,927.88 = 286,927.88 : x
  2. Step 2: Convert to fraction form
    186,432.75/286,927.88 = 286,927.88/x
  3. Step 3: Cross multiply
    186,432.75x = 286,927.88 × 286,927.88
  4. Step 4: Simplify right side
    186,432.75x = 82,327,605,452.02
  5. Step 5: Solve for x
    x = 82,327,605,452.02/186,432.75
  6. Step 6: Final answer
    x = 441,594.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.