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Finding the Third Proportional to 134,377 and 203,304

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Solution

The third proportional to 134,377 and 203,304 is: 307,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,377 : 203,304 = 203,304 : x
  2. Step 2: Convert to fraction form
    134,377/203,304 = 203,304/x
  3. Step 3: Cross multiply
    134,377x = 203,304 × 203,304
  4. Step 4: Simplify right side
    134,377x = 41,332,516,416
  5. Step 5: Solve for x
    x = 41,332,516,416/134,377
  6. Step 6: Final answer
    x = 307,586.24

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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.