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Finding the Third Proportional to 159,989.34 and 342,748.97

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Solution

The third proportional to 159,989.34 and 342,748.97 is: 734,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,989.34 : 342,748.97 = 342,748.97 : x
  2. Step 2: Convert to fraction form
    159,989.34/342,748.97 = 342,748.97/x
  3. Step 3: Cross multiply
    159,989.34x = 342,748.97 × 342,748.97
  4. Step 4: Simplify right side
    159,989.34x = 117,476,855,579.19
  5. Step 5: Solve for x
    x = 117,476,855,579.19/159,989.34
  6. Step 6: Final answer
    x = 734,279.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.