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Finding the Third Proportional to 186,718.50 and 251,565.75

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Solution

The third proportional to 186,718.50 and 251,565.75 is: 338,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,718.50 : 251,565.75 = 251,565.75 : x
  2. Step 2: Convert to fraction form
    186,718.50/251,565.75 = 251,565.75/x
  3. Step 3: Cross multiply
    186,718.50x = 251,565.75 × 251,565.75
  4. Step 4: Simplify right side
    186,718.50x = 63,285,326,573.06
  5. Step 5: Solve for x
    x = 63,285,326,573.06/186,718.50
  6. Step 6: Final answer
    x = 338,934.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.