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Finding the Third Proportional to 137,184 and 293,385

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Solution

The third proportional to 137,184 and 293,385 is: 627,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,184 : 293,385 = 293,385 : x
  2. Step 2: Convert to fraction form
    137,184/293,385 = 293,385/x
  3. Step 3: Cross multiply
    137,184x = 293,385 × 293,385
  4. Step 4: Simplify right side
    137,184x = 86,074,758,225
  5. Step 5: Solve for x
    x = 86,074,758,225/137,184
  6. Step 6: Final answer
    x = 627,440.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.