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Finding the Third Proportional to 159,507 and 246,798

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Solution

The third proportional to 159,507 and 246,798 is: 381,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,507 : 246,798 = 246,798 : x
  2. Step 2: Convert to fraction form
    159,507/246,798 = 246,798/x
  3. Step 3: Cross multiply
    159,507x = 246,798 × 246,798
  4. Step 4: Simplify right side
    159,507x = 60,909,252,804
  5. Step 5: Solve for x
    x = 60,909,252,804/159,507
  6. Step 6: Final answer
    x = 381,859.43

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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.