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Finding the Third Proportional to 141,394 and 304,460

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Solution

The third proportional to 141,394 and 304,460 is: 655,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,394 : 304,460 = 304,460 : x
  2. Step 2: Convert to fraction form
    141,394/304,460 = 304,460/x
  3. Step 3: Cross multiply
    141,394x = 304,460 × 304,460
  4. Step 4: Simplify right side
    141,394x = 92,695,891,600
  5. Step 5: Solve for x
    x = 92,695,891,600/141,394
  6. Step 6: Final answer
    x = 655,585.75

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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.