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Finding the Third Proportional to 137,969 and 302,434

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Solution

The third proportional to 137,969 and 302,434 is: 662,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,969 : 302,434 = 302,434 : x
  2. Step 2: Convert to fraction form
    137,969/302,434 = 302,434/x
  3. Step 3: Cross multiply
    137,969x = 302,434 × 302,434
  4. Step 4: Simplify right side
    137,969x = 91,466,324,356
  5. Step 5: Solve for x
    x = 91,466,324,356/137,969
  6. Step 6: Final answer
    x = 662,948.38

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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.