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Finding the Third Proportional to 173,034 and 372,708

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Solution

The third proportional to 173,034 and 372,708 is: 802,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,034 : 372,708 = 372,708 : x
  2. Step 2: Convert to fraction form
    173,034/372,708 = 372,708/x
  3. Step 3: Cross multiply
    173,034x = 372,708 × 372,708
  4. Step 4: Simplify right side
    173,034x = 138,911,253,264
  5. Step 5: Solve for x
    x = 138,911,253,264/173,034
  6. Step 6: Final answer
    x = 802,797.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.