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Finding the Third Proportional to 174,870 and 360,952

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Solution

The third proportional to 174,870 and 360,952 is: 745,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,870 : 360,952 = 360,952 : x
  2. Step 2: Convert to fraction form
    174,870/360,952 = 360,952/x
  3. Step 3: Cross multiply
    174,870x = 360,952 × 360,952
  4. Step 4: Simplify right side
    174,870x = 130,286,346,304
  5. Step 5: Solve for x
    x = 130,286,346,304/174,870
  6. Step 6: Final answer
    x = 745,046.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.