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Finding the Third Proportional to 141,644 and 304,339

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Solution

The third proportional to 141,644 and 304,339 is: 653,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,644 : 304,339 = 304,339 : x
  2. Step 2: Convert to fraction form
    141,644/304,339 = 304,339/x
  3. Step 3: Cross multiply
    141,644x = 304,339 × 304,339
  4. Step 4: Simplify right side
    141,644x = 92,622,226,921
  5. Step 5: Solve for x
    x = 92,622,226,921/141,644
  6. Step 6: Final answer
    x = 653,908.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.