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Finding the Third Proportional to 176,258 and 364,372

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Solution

The third proportional to 176,258 and 364,372 is: 753,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,258 : 364,372 = 364,372 : x
  2. Step 2: Convert to fraction form
    176,258/364,372 = 364,372/x
  3. Step 3: Cross multiply
    176,258x = 364,372 × 364,372
  4. Step 4: Simplify right side
    176,258x = 132,766,954,384
  5. Step 5: Solve for x
    x = 132,766,954,384/176,258
  6. Step 6: Final answer
    x = 753,253.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.