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Finding the Third Proportional to 188,833.78 and 410,267.53

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Solution

The third proportional to 188,833.78 and 410,267.53 is: 891,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,833.78 : 410,267.53 = 410,267.53 : x
  2. Step 2: Convert to fraction form
    188,833.78/410,267.53 = 410,267.53/x
  3. Step 3: Cross multiply
    188,833.78x = 410,267.53 × 410,267.53
  4. Step 4: Simplify right side
    188,833.78x = 168,319,447,197.97
  5. Step 5: Solve for x
    x = 168,319,447,197.97/188,833.78
  6. Step 6: Final answer
    x = 891,363.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.