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Finding the Third Proportional to 153,742 and 336,644

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Solution

The third proportional to 153,742 and 336,644 is: 737,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,742 : 336,644 = 336,644 : x
  2. Step 2: Convert to fraction form
    153,742/336,644 = 336,644/x
  3. Step 3: Cross multiply
    153,742x = 336,644 × 336,644
  4. Step 4: Simplify right side
    153,742x = 113,329,182,736
  5. Step 5: Solve for x
    x = 113,329,182,736/153,742
  6. Step 6: Final answer
    x = 737,138.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.