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Finding the Third Proportional to 150,637 and 321,290

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Solution

The third proportional to 150,637 and 321,290 is: 685,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,637 : 321,290 = 321,290 : x
  2. Step 2: Convert to fraction form
    150,637/321,290 = 321,290/x
  3. Step 3: Cross multiply
    150,637x = 321,290 × 321,290
  4. Step 4: Simplify right side
    150,637x = 103,227,264,100
  5. Step 5: Solve for x
    x = 103,227,264,100/150,637
  6. Step 6: Final answer
    x = 685,271.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.