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Finding the Third Proportional to 176,258 and 372,609

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Solution

The third proportional to 176,258 and 372,609 is: 787,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,258 : 372,609 = 372,609 : x
  2. Step 2: Convert to fraction form
    176,258/372,609 = 372,609/x
  3. Step 3: Cross multiply
    176,258x = 372,609 × 372,609
  4. Step 4: Simplify right side
    176,258x = 138,837,466,881
  5. Step 5: Solve for x
    x = 138,837,466,881/176,258
  6. Step 6: Final answer
    x = 787,694.56

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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.