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Finding the Third Proportional to 147,682.13 and 323,959.78

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Solution

The third proportional to 147,682.13 and 323,959.78 is: 710,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,682.13 : 323,959.78 = 323,959.78 : x
  2. Step 2: Convert to fraction form
    147,682.13/323,959.78 = 323,959.78/x
  3. Step 3: Cross multiply
    147,682.13x = 323,959.78 × 323,959.78
  4. Step 4: Simplify right side
    147,682.13x = 104,949,939,867.55
  5. Step 5: Solve for x
    x = 104,949,939,867.55/147,682.13
  6. Step 6: Final answer
    x = 710,647.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.