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Finding the Third Proportional to 174,470 and 268,497

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Solution

The third proportional to 174,470 and 268,497 is: 413,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,470 : 268,497 = 268,497 : x
  2. Step 2: Convert to fraction form
    174,470/268,497 = 268,497/x
  3. Step 3: Cross multiply
    174,470x = 268,497 × 268,497
  4. Step 4: Simplify right side
    174,470x = 72,090,639,009
  5. Step 5: Solve for x
    x = 72,090,639,009/174,470
  6. Step 6: Final answer
    x = 413,197.91

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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.