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Finding the Third Proportional to 235,412 and 348,540

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Solution

The third proportional to 235,412 and 348,540 is: 516,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,412 : 348,540 = 348,540 : x
  2. Step 2: Convert to fraction form
    235,412/348,540 = 348,540/x
  3. Step 3: Cross multiply
    235,412x = 348,540 × 348,540
  4. Step 4: Simplify right side
    235,412x = 121,480,131,600
  5. Step 5: Solve for x
    x = 121,480,131,600/235,412
  6. Step 6: Final answer
    x = 516,032.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.