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Finding the Third Proportional to 117,243.75 and 181,657.50

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Solution

The third proportional to 117,243.75 and 181,657.50 is: 281,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,243.75 : 181,657.50 = 181,657.50 : x
  2. Step 2: Convert to fraction form
    117,243.75/181,657.50 = 181,657.50/x
  3. Step 3: Cross multiply
    117,243.75x = 181,657.50 × 181,657.50
  4. Step 4: Simplify right side
    117,243.75x = 32,999,447,306.25
  5. Step 5: Solve for x
    x = 32,999,447,306.25/117,243.75
  6. Step 6: Final answer
    x = 281,460.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.