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Finding the Third Proportional to 147,692 and 322,452

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Solution

The third proportional to 147,692 and 322,452 is: 704,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,692 : 322,452 = 322,452 : x
  2. Step 2: Convert to fraction form
    147,692/322,452 = 322,452/x
  3. Step 3: Cross multiply
    147,692x = 322,452 × 322,452
  4. Step 4: Simplify right side
    147,692x = 103,975,292,304
  5. Step 5: Solve for x
    x = 103,975,292,304/147,692
  6. Step 6: Final answer
    x = 704,000.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.