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Finding the Third Proportional to 141,924 and 309,048

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Solution

The third proportional to 141,924 and 309,048 is: 672,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,924 : 309,048 = 309,048 : x
  2. Step 2: Convert to fraction form
    141,924/309,048 = 309,048/x
  3. Step 3: Cross multiply
    141,924x = 309,048 × 309,048
  4. Step 4: Simplify right side
    141,924x = 95,510,666,304
  5. Step 5: Solve for x
    x = 95,510,666,304/141,924
  6. Step 6: Final answer
    x = 672,970.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.