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Finding the Third Proportional to 140,365.13 and 183,073.50

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Solution

The third proportional to 140,365.13 and 183,073.50 is: 238,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,365.13 : 183,073.50 = 183,073.50 : x
  2. Step 2: Convert to fraction form
    140,365.13/183,073.50 = 183,073.50/x
  3. Step 3: Cross multiply
    140,365.13x = 183,073.50 × 183,073.50
  4. Step 4: Simplify right side
    140,365.13x = 33,515,906,402.25
  5. Step 5: Solve for x
    x = 33,515,906,402.25/140,365.13
  6. Step 6: Final answer
    x = 238,776.59

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.