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Finding the Third Proportional to 134,374 and 203,074

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Solution

The third proportional to 134,374 and 203,074 is: 306,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,374 : 203,074 = 203,074 : x
  2. Step 2: Convert to fraction form
    134,374/203,074 = 203,074/x
  3. Step 3: Cross multiply
    134,374x = 203,074 × 203,074
  4. Step 4: Simplify right side
    134,374x = 41,239,049,476
  5. Step 5: Solve for x
    x = 41,239,049,476/134,374
  6. Step 6: Final answer
    x = 306,897.54

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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.