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Finding the Third Proportional to 150,006 and 316,870

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Solution

The third proportional to 150,006 and 316,870 is: 669,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,006 : 316,870 = 316,870 : x
  2. Step 2: Convert to fraction form
    150,006/316,870 = 316,870/x
  3. Step 3: Cross multiply
    150,006x = 316,870 × 316,870
  4. Step 4: Simplify right side
    150,006x = 100,406,596,900
  5. Step 5: Solve for x
    x = 100,406,596,900/150,006
  6. Step 6: Final answer
    x = 669,350.54

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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.