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Finding the Third Proportional to 225,012.38 and 316,508.06

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Solution

The third proportional to 225,012.38 and 316,508.06 is: 445,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,012.38 : 316,508.06 = 316,508.06 : x
  2. Step 2: Convert to fraction form
    225,012.38/316,508.06 = 316,508.06/x
  3. Step 3: Cross multiply
    225,012.38x = 316,508.06 × 316,508.06
  4. Step 4: Simplify right side
    225,012.38x = 100,177,353,627.50
  5. Step 5: Solve for x
    x = 100,177,353,627.50/225,012.38
  6. Step 6: Final answer
    x = 445,208.20

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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.