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Finding the Third Proportional to 138,474 and 302,574

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Solution

The third proportional to 138,474 and 302,574 is: 661,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,474 : 302,574 = 302,574 : x
  2. Step 2: Convert to fraction form
    138,474/302,574 = 302,574/x
  3. Step 3: Cross multiply
    138,474x = 302,574 × 302,574
  4. Step 4: Simplify right side
    138,474x = 91,551,025,476
  5. Step 5: Solve for x
    x = 91,551,025,476/138,474
  6. Step 6: Final answer
    x = 661,142.35

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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.