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Finding the Third Proportional to 141,065 and 304,274

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Solution

The third proportional to 141,065 and 304,274 is: 656,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,065 : 304,274 = 304,274 : x
  2. Step 2: Convert to fraction form
    141,065/304,274 = 304,274/x
  3. Step 3: Cross multiply
    141,065x = 304,274 × 304,274
  4. Step 4: Simplify right side
    141,065x = 92,582,667,076
  5. Step 5: Solve for x
    x = 92,582,667,076/141,065
  6. Step 6: Final answer
    x = 656,312.10

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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.