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Finding the Third Proportional to 153,898 and 231,862

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Solution

The third proportional to 153,898 and 231,862 is: 349,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,898 : 231,862 = 231,862 : x
  2. Step 2: Convert to fraction form
    153,898/231,862 = 231,862/x
  3. Step 3: Cross multiply
    153,898x = 231,862 × 231,862
  4. Step 4: Simplify right side
    153,898x = 53,759,987,044
  5. Step 5: Solve for x
    x = 53,759,987,044/153,898
  6. Step 6: Final answer
    x = 349,322.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.