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Finding the Third Proportional to 144,081.75 and 207,526.50

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Solution

The third proportional to 144,081.75 and 207,526.50 is: 298,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,081.75 : 207,526.50 = 207,526.50 : x
  2. Step 2: Convert to fraction form
    144,081.75/207,526.50 = 207,526.50/x
  3. Step 3: Cross multiply
    144,081.75x = 207,526.50 × 207,526.50
  4. Step 4: Simplify right side
    144,081.75x = 43,067,248,202.25
  5. Step 5: Solve for x
    x = 43,067,248,202.25/144,081.75
  6. Step 6: Final answer
    x = 298,908.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.