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Finding the Third Proportional to 235,407 and 348,532

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Solution

The third proportional to 235,407 and 348,532 is: 516,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,407 : 348,532 = 348,532 : x
  2. Step 2: Convert to fraction form
    235,407/348,532 = 348,532/x
  3. Step 3: Cross multiply
    235,407x = 348,532 × 348,532
  4. Step 4: Simplify right side
    235,407x = 121,474,555,024
  5. Step 5: Solve for x
    x = 121,474,555,024/235,407
  6. Step 6: Final answer
    x = 516,019.30

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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.