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Finding the Third Proportional to 86,830.50 and 176,074.50

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Solution

The third proportional to 86,830.50 and 176,074.50 is: 357,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,830.50 : 176,074.50 = 176,074.50 : x
  2. Step 2: Convert to fraction form
    86,830.50/176,074.50 = 176,074.50/x
  3. Step 3: Cross multiply
    86,830.50x = 176,074.50 × 176,074.50
  4. Step 4: Simplify right side
    86,830.50x = 31,002,229,550.25
  5. Step 5: Solve for x
    x = 31,002,229,550.25/86,830.50
  6. Step 6: Final answer
    x = 357,043.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.