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Finding the Third Proportional to 117,246.50 and 181,661.50

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Solution

The third proportional to 117,246.50 and 181,661.50 is: 281,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,246.50 : 181,661.50 = 181,661.50 : x
  2. Step 2: Convert to fraction form
    117,246.50/181,661.50 = 181,661.50/x
  3. Step 3: Cross multiply
    117,246.50x = 181,661.50 × 181,661.50
  4. Step 4: Simplify right side
    117,246.50x = 33,000,900,582.25
  5. Step 5: Solve for x
    x = 33,000,900,582.25/117,246.50
  6. Step 6: Final answer
    x = 281,465.98

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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.