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Finding the Third Proportional to 138,334 and 302,156

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Solution

The third proportional to 138,334 and 302,156 is: 659,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,334 : 302,156 = 302,156 : x
  2. Step 2: Convert to fraction form
    138,334/302,156 = 302,156/x
  3. Step 3: Cross multiply
    138,334x = 302,156 × 302,156
  4. Step 4: Simplify right side
    138,334x = 91,298,248,336
  5. Step 5: Solve for x
    x = 91,298,248,336/138,334
  6. Step 6: Final answer
    x = 659,984.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.