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Finding the Third Proportional to 150,080 and 317,584

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Solution

The third proportional to 150,080 and 317,584 is: 672,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,080 : 317,584 = 317,584 : x
  2. Step 2: Convert to fraction form
    150,080/317,584 = 317,584/x
  3. Step 3: Cross multiply
    150,080x = 317,584 × 317,584
  4. Step 4: Simplify right side
    150,080x = 100,859,597,056
  5. Step 5: Solve for x
    x = 100,859,597,056/150,080
  6. Step 6: Final answer
    x = 672,038.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.