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Finding the Third Proportional to 150,090 and 317,060

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Solution

The third proportional to 150,090 and 317,060 is: 669,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,090 : 317,060 = 317,060 : x
  2. Step 2: Convert to fraction form
    150,090/317,060 = 317,060/x
  3. Step 3: Cross multiply
    150,090x = 317,060 × 317,060
  4. Step 4: Simplify right side
    150,090x = 100,527,043,600
  5. Step 5: Solve for x
    x = 100,527,043,600/150,090
  6. Step 6: Final answer
    x = 669,778.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.