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Finding the Third Proportional to 158,866.31 and 349,717.50

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Solution

The third proportional to 158,866.31 and 349,717.50 is: 769,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,866.31 : 349,717.50 = 349,717.50 : x
  2. Step 2: Convert to fraction form
    158,866.31/349,717.50 = 349,717.50/x
  3. Step 3: Cross multiply
    158,866.31x = 349,717.50 × 349,717.50
  4. Step 4: Simplify right side
    158,866.31x = 122,302,329,806.25
  5. Step 5: Solve for x
    x = 122,302,329,806.25/158,866.31
  6. Step 6: Final answer
    x = 769,844.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.