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Finding the Third Proportional to 235,414 and 348,543

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Solution

The third proportional to 235,414 and 348,543 is: 516,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,414 : 348,543 = 348,543 : x
  2. Step 2: Convert to fraction form
    235,414/348,543 = 348,543/x
  3. Step 3: Cross multiply
    235,414x = 348,543 × 348,543
  4. Step 4: Simplify right side
    235,414x = 121,482,222,849
  5. Step 5: Solve for x
    x = 121,482,222,849/235,414
  6. Step 6: Final answer
    x = 516,036.53

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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.