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Finding the Third Proportional to 140,000 and 302,464

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Solution

The third proportional to 140,000 and 302,464 is: 653,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,000 : 302,464 = 302,464 : x
  2. Step 2: Convert to fraction form
    140,000/302,464 = 302,464/x
  3. Step 3: Cross multiply
    140,000x = 302,464 × 302,464
  4. Step 4: Simplify right side
    140,000x = 91,484,471,296
  5. Step 5: Solve for x
    x = 91,484,471,296/140,000
  6. Step 6: Final answer
    x = 653,460.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.