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Finding the Third Proportional to 152,227.13 and 344,300.63

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Solution

The third proportional to 152,227.13 and 344,300.63 is: 778,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,227.13 : 344,300.63 = 344,300.63 : x
  2. Step 2: Convert to fraction form
    152,227.13/344,300.63 = 344,300.63/x
  3. Step 3: Cross multiply
    152,227.13x = 344,300.63 × 344,300.63
  4. Step 4: Simplify right side
    152,227.13x = 118,542,920,375.39
  5. Step 5: Solve for x
    x = 118,542,920,375.39/152,227.13
  6. Step 6: Final answer
    x = 778,724.03

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.