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Finding the Third Proportional to 83,768.50 and 180,659

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Solution

The third proportional to 83,768.50 and 180,659 is: 389,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768.50 : 180,659 = 180,659 : x
  2. Step 2: Convert to fraction form
    83,768.50/180,659 = 180,659/x
  3. Step 3: Cross multiply
    83,768.50x = 180,659 × 180,659
  4. Step 4: Simplify right side
    83,768.50x = 32,637,674,281
  5. Step 5: Solve for x
    x = 32,637,674,281/83,768.50
  6. Step 6: Final answer
    x = 389,617.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.