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Finding the Third Proportional to 159,429 and 244,165.50

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Solution

The third proportional to 159,429 and 244,165.50 is: 373,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,429 : 244,165.50 = 244,165.50 : x
  2. Step 2: Convert to fraction form
    159,429/244,165.50 = 244,165.50/x
  3. Step 3: Cross multiply
    159,429x = 244,165.50 × 244,165.50
  4. Step 4: Simplify right side
    159,429x = 59,616,791,390.25
  5. Step 5: Solve for x
    x = 59,616,791,390.25/159,429
  6. Step 6: Final answer
    x = 373,939.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.