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Finding the Third Proportional to 83,242.50 and 179,787

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Solution

The third proportional to 83,242.50 and 179,787 is: 388,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242.50 : 179,787 = 179,787 : x
  2. Step 2: Convert to fraction form
    83,242.50/179,787 = 179,787/x
  3. Step 3: Cross multiply
    83,242.50x = 179,787 × 179,787
  4. Step 4: Simplify right side
    83,242.50x = 32,323,365,369
  5. Step 5: Solve for x
    x = 32,323,365,369/83,242.50
  6. Step 6: Final answer
    x = 388,303.64

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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.