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Finding the Third Proportional to 74,408 and 175,617

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Solution

The third proportional to 74,408 and 175,617 is: 414,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,408 : 175,617 = 175,617 : x
  2. Step 2: Convert to fraction form
    74,408/175,617 = 175,617/x
  3. Step 3: Cross multiply
    74,408x = 175,617 × 175,617
  4. Step 4: Simplify right side
    74,408x = 30,841,330,689
  5. Step 5: Solve for x
    x = 30,841,330,689/74,408
  6. Step 6: Final answer
    x = 414,489.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.