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Finding the Third Proportional to 159,653 and 349,924

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Solution

The third proportional to 159,653 and 349,924 is: 766,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,653 : 349,924 = 349,924 : x
  2. Step 2: Convert to fraction form
    159,653/349,924 = 349,924/x
  3. Step 3: Cross multiply
    159,653x = 349,924 × 349,924
  4. Step 4: Simplify right side
    159,653x = 122,446,805,776
  5. Step 5: Solve for x
    x = 122,446,805,776/159,653
  6. Step 6: Final answer
    x = 766,955.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.