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Finding the Third Proportional to 158,492 and 324,271

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Solution

The third proportional to 158,492 and 324,271 is: 663,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,492 : 324,271 = 324,271 : x
  2. Step 2: Convert to fraction form
    158,492/324,271 = 324,271/x
  3. Step 3: Cross multiply
    158,492x = 324,271 × 324,271
  4. Step 4: Simplify right side
    158,492x = 105,151,681,441
  5. Step 5: Solve for x
    x = 105,151,681,441/158,492
  6. Step 6: Final answer
    x = 663,451.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.