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Finding the Third Proportional to 159,030 and 337,019

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Solution

The third proportional to 159,030 and 337,019 is: 714,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,030 : 337,019 = 337,019 : x
  2. Step 2: Convert to fraction form
    159,030/337,019 = 337,019/x
  3. Step 3: Cross multiply
    159,030x = 337,019 × 337,019
  4. Step 4: Simplify right side
    159,030x = 113,581,806,361
  5. Step 5: Solve for x
    x = 113,581,806,361/159,030
  6. Step 6: Final answer
    x = 714,216.23

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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.