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Finding the Third Proportional to 152,026 and 241,950

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Solution

The third proportional to 152,026 and 241,950 is: 385,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,026 : 241,950 = 241,950 : x
  2. Step 2: Convert to fraction form
    152,026/241,950 = 241,950/x
  3. Step 3: Cross multiply
    152,026x = 241,950 × 241,950
  4. Step 4: Simplify right side
    152,026x = 58,539,802,500
  5. Step 5: Solve for x
    x = 58,539,802,500/152,026
  6. Step 6: Final answer
    x = 385,064.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.