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Finding the Third Proportional to 186,806.25 and 291,873.38

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Solution

The third proportional to 186,806.25 and 291,873.38 is: 456,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,806.25 : 291,873.38 = 291,873.38 : x
  2. Step 2: Convert to fraction form
    186,806.25/291,873.38 = 291,873.38/x
  3. Step 3: Cross multiply
    186,806.25x = 291,873.38 × 291,873.38
  4. Step 4: Simplify right side
    186,806.25x = 85,190,067,033.89
  5. Step 5: Solve for x
    x = 85,190,067,033.89/186,806.25
  6. Step 6: Final answer
    x = 456,034.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.