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Finding the Third Proportional to 158,646 and 344,940

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Solution

The third proportional to 158,646 and 344,940 is: 749,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,646 : 344,940 = 344,940 : x
  2. Step 2: Convert to fraction form
    158,646/344,940 = 344,940/x
  3. Step 3: Cross multiply
    158,646x = 344,940 × 344,940
  4. Step 4: Simplify right side
    158,646x = 118,983,603,600
  5. Step 5: Solve for x
    x = 118,983,603,600/158,646
  6. Step 6: Final answer
    x = 749,994.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.