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Finding the Third Proportional to 186,590.25 and 288,177.75

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Solution

The third proportional to 186,590.25 and 288,177.75 is: 445,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,590.25 : 288,177.75 = 288,177.75 : x
  2. Step 2: Convert to fraction form
    186,590.25/288,177.75 = 288,177.75/x
  3. Step 3: Cross multiply
    186,590.25x = 288,177.75 × 288,177.75
  4. Step 4: Simplify right side
    186,590.25x = 83,046,415,595.06
  5. Step 5: Solve for x
    x = 83,046,415,595.06/186,590.25
  6. Step 6: Final answer
    x = 445,073.71

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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.