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Finding the Third Proportional to 118,408 and 175,808

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Solution

The third proportional to 118,408 and 175,808 is: 261,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,408 : 175,808 = 175,808 : x
  2. Step 2: Convert to fraction form
    118,408/175,808 = 175,808/x
  3. Step 3: Cross multiply
    118,408x = 175,808 × 175,808
  4. Step 4: Simplify right side
    118,408x = 30,908,452,864
  5. Step 5: Solve for x
    x = 30,908,452,864/118,408
  6. Step 6: Final answer
    x = 261,033.48

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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.