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Finding the Third Proportional to 117,482.50 and 176,259.75

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Solution

The third proportional to 117,482.50 and 176,259.75 is: 264,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,482.50 : 176,259.75 = 176,259.75 : x
  2. Step 2: Convert to fraction form
    117,482.50/176,259.75 = 176,259.75/x
  3. Step 3: Cross multiply
    117,482.50x = 176,259.75 × 176,259.75
  4. Step 4: Simplify right side
    117,482.50x = 31,067,499,470.06
  5. Step 5: Solve for x
    x = 31,067,499,470.06/117,482.50
  6. Step 6: Final answer
    x = 264,443.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.