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Finding the Third Proportional to 147,967 and 323,614

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Solution

The third proportional to 147,967 and 323,614 is: 707,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,967 : 323,614 = 323,614 : x
  2. Step 2: Convert to fraction form
    147,967/323,614 = 323,614/x
  3. Step 3: Cross multiply
    147,967x = 323,614 × 323,614
  4. Step 4: Simplify right side
    147,967x = 104,726,020,996
  5. Step 5: Solve for x
    x = 104,726,020,996/147,967
  6. Step 6: Final answer
    x = 707,766.06

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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.