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Finding the Third Proportional to 176,924 and 266,357

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Solution

The third proportional to 176,924 and 266,357 is: 400,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,924 : 266,357 = 266,357 : x
  2. Step 2: Convert to fraction form
    176,924/266,357 = 266,357/x
  3. Step 3: Cross multiply
    176,924x = 266,357 × 266,357
  4. Step 4: Simplify right side
    176,924x = 70,946,051,449
  5. Step 5: Solve for x
    x = 70,946,051,449/176,924
  6. Step 6: Final answer
    x = 400,997.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.