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Finding the Third Proportional to 150,000 and 316,854

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Solution

The third proportional to 150,000 and 316,854 is: 669,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000 : 316,854 = 316,854 : x
  2. Step 2: Convert to fraction form
    150,000/316,854 = 316,854/x
  3. Step 3: Cross multiply
    150,000x = 316,854 × 316,854
  4. Step 4: Simplify right side
    150,000x = 100,396,457,316
  5. Step 5: Solve for x
    x = 100,396,457,316/150,000
  6. Step 6: Final answer
    x = 669,309.72

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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.