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Finding the Third Proportional to 134,447 and 292,601

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Solution

The third proportional to 134,447 and 292,601 is: 636,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,447 : 292,601 = 292,601 : x
  2. Step 2: Convert to fraction form
    134,447/292,601 = 292,601/x
  3. Step 3: Cross multiply
    134,447x = 292,601 × 292,601
  4. Step 4: Simplify right side
    134,447x = 85,615,345,201
  5. Step 5: Solve for x
    x = 85,615,345,201/134,447
  6. Step 6: Final answer
    x = 636,796.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.