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Finding the Third Proportional to 225,534.38 and 317,320.03

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Solution

The third proportional to 225,534.38 and 317,320.03 is: 446,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,534.38 : 317,320.03 = 317,320.03 : x
  2. Step 2: Convert to fraction form
    225,534.38/317,320.03 = 317,320.03/x
  3. Step 3: Cross multiply
    225,534.38x = 317,320.03 × 317,320.03
  4. Step 4: Simplify right side
    225,534.38x = 100,692,002,232.50
  5. Step 5: Solve for x
    x = 100,692,002,232.50/225,534.38
  6. Step 6: Final answer
    x = 446,459.67

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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.