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Finding the Third Proportional to 159,461 and 335,446

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Solution

The third proportional to 159,461 and 335,446 is: 705,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,461 : 335,446 = 335,446 : x
  2. Step 2: Convert to fraction form
    159,461/335,446 = 335,446/x
  3. Step 3: Cross multiply
    159,461x = 335,446 × 335,446
  4. Step 4: Simplify right side
    159,461x = 112,524,018,916
  5. Step 5: Solve for x
    x = 112,524,018,916/159,461
  6. Step 6: Final answer
    x = 705,652.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.