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Finding the Third Proportional to 230,348 and 348,743

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Solution

The third proportional to 230,348 and 348,743 is: 527,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,348 : 348,743 = 348,743 : x
  2. Step 2: Convert to fraction form
    230,348/348,743 = 348,743/x
  3. Step 3: Cross multiply
    230,348x = 348,743 × 348,743
  4. Step 4: Simplify right side
    230,348x = 121,621,680,049
  5. Step 5: Solve for x
    x = 121,621,680,049/230,348
  6. Step 6: Final answer
    x = 527,991.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.