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Finding the Third Proportional to 147,398 and 346,474

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Solution

The third proportional to 147,398 and 346,474 is: 814,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,398 : 346,474 = 346,474 : x
  2. Step 2: Convert to fraction form
    147,398/346,474 = 346,474/x
  3. Step 3: Cross multiply
    147,398x = 346,474 × 346,474
  4. Step 4: Simplify right side
    147,398x = 120,044,232,676
  5. Step 5: Solve for x
    x = 120,044,232,676/147,398
  6. Step 6: Final answer
    x = 814,422.40

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.