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Finding the Third Proportional to 159,475 and 246,929

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Solution

The third proportional to 159,475 and 246,929 is: 382,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,475 : 246,929 = 246,929 : x
  2. Step 2: Convert to fraction form
    159,475/246,929 = 246,929/x
  3. Step 3: Cross multiply
    159,475x = 246,929 × 246,929
  4. Step 4: Simplify right side
    159,475x = 60,973,931,041
  5. Step 5: Solve for x
    x = 60,973,931,041/159,475
  6. Step 6: Final answer
    x = 382,341.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.