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Finding the Third Proportional to 177,460 and 268,038

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Solution

The third proportional to 177,460 and 268,038 is: 404,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,460 : 268,038 = 268,038 : x
  2. Step 2: Convert to fraction form
    177,460/268,038 = 268,038/x
  3. Step 3: Cross multiply
    177,460x = 268,038 × 268,038
  4. Step 4: Simplify right side
    177,460x = 71,844,369,444
  5. Step 5: Solve for x
    x = 71,844,369,444/177,460
  6. Step 6: Final answer
    x = 404,848.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.