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Finding the Third Proportional to 148,086.56 and 349,228.13

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Solution

The third proportional to 148,086.56 and 349,228.13 is: 823,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,086.56 : 349,228.13 = 349,228.13 : x
  2. Step 2: Convert to fraction form
    148,086.56/349,228.13 = 349,228.13/x
  3. Step 3: Cross multiply
    148,086.56x = 349,228.13 × 349,228.13
  4. Step 4: Simplify right side
    148,086.56x = 121,960,283,291.02
  5. Step 5: Solve for x
    x = 121,960,283,291.02/148,086.56
  6. Step 6: Final answer
    x = 823,574.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.