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Finding the Third Proportional to 147,329 and 321,646

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Solution

The third proportional to 147,329 and 321,646 is: 702,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,329 : 321,646 = 321,646 : x
  2. Step 2: Convert to fraction form
    147,329/321,646 = 321,646/x
  3. Step 3: Cross multiply
    147,329x = 321,646 × 321,646
  4. Step 4: Simplify right side
    147,329x = 103,456,149,316
  5. Step 5: Solve for x
    x = 103,456,149,316/147,329
  6. Step 6: Final answer
    x = 702,211.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.