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Finding the Third Proportional to 147,214 and 322,467

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Solution

The third proportional to 147,214 and 322,467 is: 706,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,214 : 322,467 = 322,467 : x
  2. Step 2: Convert to fraction form
    147,214/322,467 = 322,467/x
  3. Step 3: Cross multiply
    147,214x = 322,467 × 322,467
  4. Step 4: Simplify right side
    147,214x = 103,984,966,089
  5. Step 5: Solve for x
    x = 103,984,966,089/147,214
  6. Step 6: Final answer
    x = 706,352.43

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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.