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Finding the Third Proportional to 141,542 and 304,048

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Solution

The third proportional to 141,542 and 304,048 is: 653,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,542 : 304,048 = 304,048 : x
  2. Step 2: Convert to fraction form
    141,542/304,048 = 304,048/x
  3. Step 3: Cross multiply
    141,542x = 304,048 × 304,048
  4. Step 4: Simplify right side
    141,542x = 92,445,186,304
  5. Step 5: Solve for x
    x = 92,445,186,304/141,542
  6. Step 6: Final answer
    x = 653,129.01

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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.