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Finding the Third Proportional to 174,967 and 361,597

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Solution

The third proportional to 174,967 and 361,597 is: 747,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,967 : 361,597 = 361,597 : x
  2. Step 2: Convert to fraction form
    174,967/361,597 = 361,597/x
  3. Step 3: Cross multiply
    174,967x = 361,597 × 361,597
  4. Step 4: Simplify right side
    174,967x = 130,752,390,409
  5. Step 5: Solve for x
    x = 130,752,390,409/174,967
  6. Step 6: Final answer
    x = 747,297.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.