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Finding the Third Proportional to 159,537 and 246,998

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Solution

The third proportional to 159,537 and 246,998 is: 382,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,537 : 246,998 = 246,998 : x
  2. Step 2: Convert to fraction form
    159,537/246,998 = 246,998/x
  3. Step 3: Cross multiply
    159,537x = 246,998 × 246,998
  4. Step 4: Simplify right side
    159,537x = 61,008,012,004
  5. Step 5: Solve for x
    x = 61,008,012,004/159,537
  6. Step 6: Final answer
    x = 382,406.66

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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.