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Finding the Third Proportional to 235,419 and 348,550

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Solution

The third proportional to 235,419 and 348,550 is: 516,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,419 : 348,550 = 348,550 : x
  2. Step 2: Convert to fraction form
    235,419/348,550 = 348,550/x
  3. Step 3: Cross multiply
    235,419x = 348,550 × 348,550
  4. Step 4: Simplify right side
    235,419x = 121,487,102,500
  5. Step 5: Solve for x
    x = 121,487,102,500/235,419
  6. Step 6: Final answer
    x = 516,046.29

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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.