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Finding the Third Proportional to 118,228.50 and 181,726.50

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Solution

The third proportional to 118,228.50 and 181,726.50 is: 279,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,228.50 : 181,726.50 = 181,726.50 : x
  2. Step 2: Convert to fraction form
    118,228.50/181,726.50 = 181,726.50/x
  3. Step 3: Cross multiply
    118,228.50x = 181,726.50 × 181,726.50
  4. Step 4: Simplify right side
    118,228.50x = 33,024,520,802.25
  5. Step 5: Solve for x
    x = 33,024,520,802.25/118,228.50
  6. Step 6: Final answer
    x = 279,327.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.