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Finding the Third Proportional to 138,434 and 303,076

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Solution

The third proportional to 138,434 and 303,076 is: 663,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,434 : 303,076 = 303,076 : x
  2. Step 2: Convert to fraction form
    138,434/303,076 = 303,076/x
  3. Step 3: Cross multiply
    138,434x = 303,076 × 303,076
  4. Step 4: Simplify right side
    138,434x = 91,855,061,776
  5. Step 5: Solve for x
    x = 91,855,061,776/138,434
  6. Step 6: Final answer
    x = 663,529.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.