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Finding the Third Proportional to 150,506 and 321,748

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Solution

The third proportional to 150,506 and 321,748 is: 687,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,506 : 321,748 = 321,748 : x
  2. Step 2: Convert to fraction form
    150,506/321,748 = 321,748/x
  3. Step 3: Cross multiply
    150,506x = 321,748 × 321,748
  4. Step 4: Simplify right side
    150,506x = 103,521,775,504
  5. Step 5: Solve for x
    x = 103,521,775,504/150,506
  6. Step 6: Final answer
    x = 687,824.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.