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Finding the Third Proportional to 141,888 and 305,304

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Solution

The third proportional to 141,888 and 305,304 is: 656,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,888 : 305,304 = 305,304 : x
  2. Step 2: Convert to fraction form
    141,888/305,304 = 305,304/x
  3. Step 3: Cross multiply
    141,888x = 305,304 × 305,304
  4. Step 4: Simplify right side
    141,888x = 93,210,532,416
  5. Step 5: Solve for x
    x = 93,210,532,416/141,888
  6. Step 6: Final answer
    x = 656,930.34

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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.