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Finding the Third Proportional to 159,046 and 337,028

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Solution

The third proportional to 159,046 and 337,028 is: 714,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,046 : 337,028 = 337,028 : x
  2. Step 2: Convert to fraction form
    159,046/337,028 = 337,028/x
  3. Step 3: Cross multiply
    159,046x = 337,028 × 337,028
  4. Step 4: Simplify right side
    159,046x = 113,587,872,784
  5. Step 5: Solve for x
    x = 113,587,872,784/159,046
  6. Step 6: Final answer
    x = 714,182.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.