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Finding the Third Proportional to 157,637 and 335,722

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Solution

The third proportional to 157,637 and 335,722 is: 714,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,637 : 335,722 = 335,722 : x
  2. Step 2: Convert to fraction form
    157,637/335,722 = 335,722/x
  3. Step 3: Cross multiply
    157,637x = 335,722 × 335,722
  4. Step 4: Simplify right side
    157,637x = 112,709,261,284
  5. Step 5: Solve for x
    x = 112,709,261,284/157,637
  6. Step 6: Final answer
    x = 714,992.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.