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Finding the Third Proportional to 86,338.50 and 176,955.75

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Solution

The third proportional to 86,338.50 and 176,955.75 is: 362,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,338.50 : 176,955.75 = 176,955.75 : x
  2. Step 2: Convert to fraction form
    86,338.50/176,955.75 = 176,955.75/x
  3. Step 3: Cross multiply
    86,338.50x = 176,955.75 × 176,955.75
  4. Step 4: Simplify right side
    86,338.50x = 31,313,337,458.06
  5. Step 5: Solve for x
    x = 31,313,337,458.06/86,338.50
  6. Step 6: Final answer
    x = 362,681.05

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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.