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Finding the Third Proportional to 176,664 and 272,934

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Solution

The third proportional to 176,664 and 272,934 is: 421,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,664 : 272,934 = 272,934 : x
  2. Step 2: Convert to fraction form
    176,664/272,934 = 272,934/x
  3. Step 3: Cross multiply
    176,664x = 272,934 × 272,934
  4. Step 4: Simplify right side
    176,664x = 74,492,968,356
  5. Step 5: Solve for x
    x = 74,492,968,356/176,664
  6. Step 6: Final answer
    x = 421,664.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.