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Finding the Third Proportional to 176,874 and 250,036

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Solution

The third proportional to 176,874 and 250,036 is: 353,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,874 : 250,036 = 250,036 : x
  2. Step 2: Convert to fraction form
    176,874/250,036 = 250,036/x
  3. Step 3: Cross multiply
    176,874x = 250,036 × 250,036
  4. Step 4: Simplify right side
    176,874x = 62,518,001,296
  5. Step 5: Solve for x
    x = 62,518,001,296/176,874
  6. Step 6: Final answer
    x = 353,460.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.