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Finding the Third Proportional to 137,984 and 302,464

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Solution

The third proportional to 137,984 and 302,464 is: 663,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,984 : 302,464 = 302,464 : x
  2. Step 2: Convert to fraction form
    137,984/302,464 = 302,464/x
  3. Step 3: Cross multiply
    137,984x = 302,464 × 302,464
  4. Step 4: Simplify right side
    137,984x = 91,484,471,296
  5. Step 5: Solve for x
    x = 91,484,471,296/137,984
  6. Step 6: Final answer
    x = 663,007.82

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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.