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Finding the Third Proportional to 117,022.50 and 186,225.75

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Solution

The third proportional to 117,022.50 and 186,225.75 is: 296,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,022.50 : 186,225.75 = 186,225.75 : x
  2. Step 2: Convert to fraction form
    117,022.50/186,225.75 = 186,225.75/x
  3. Step 3: Cross multiply
    117,022.50x = 186,225.75 × 186,225.75
  4. Step 4: Simplify right side
    117,022.50x = 34,680,029,963.06
  5. Step 5: Solve for x
    x = 34,680,029,963.06/117,022.50
  6. Step 6: Final answer
    x = 296,353.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.