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Finding the Third Proportional to 186,882.19 and 400,317.82

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Solution

The third proportional to 186,882.19 and 400,317.82 is: 857,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,882.19 : 400,317.82 = 400,317.82 : x
  2. Step 2: Convert to fraction form
    186,882.19/400,317.82 = 400,317.82/x
  3. Step 3: Cross multiply
    186,882.19x = 400,317.82 × 400,317.82
  4. Step 4: Simplify right side
    186,882.19x = 160,254,357,259.75
  5. Step 5: Solve for x
    x = 160,254,357,259.75/186,882.19
  6. Step 6: Final answer
    x = 857,515.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.