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Finding the Third Proportional to 176,204 and 272,946

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Solution

The third proportional to 176,204 and 272,946 is: 422,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,204 : 272,946 = 272,946 : x
  2. Step 2: Convert to fraction form
    176,204/272,946 = 272,946/x
  3. Step 3: Cross multiply
    176,204x = 272,946 × 272,946
  4. Step 4: Simplify right side
    176,204x = 74,499,518,916
  5. Step 5: Solve for x
    x = 74,499,518,916/176,204
  6. Step 6: Final answer
    x = 422,802.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.