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Finding the Third Proportional to 176,274 and 372,642

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Solution

The third proportional to 176,274 and 372,642 is: 787,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274 : 372,642 = 372,642 : x
  2. Step 2: Convert to fraction form
    176,274/372,642 = 372,642/x
  3. Step 3: Cross multiply
    176,274x = 372,642 × 372,642
  4. Step 4: Simplify right side
    176,274x = 138,862,060,164
  5. Step 5: Solve for x
    x = 138,862,060,164/176,274
  6. Step 6: Final answer
    x = 787,762.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.