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Finding the Third Proportional to 153,462 and 335,388

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Solution

The third proportional to 153,462 and 335,388 is: 732,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,462 : 335,388 = 335,388 : x
  2. Step 2: Convert to fraction form
    153,462/335,388 = 335,388/x
  3. Step 3: Cross multiply
    153,462x = 335,388 × 335,388
  4. Step 4: Simplify right side
    153,462x = 112,485,110,544
  5. Step 5: Solve for x
    x = 112,485,110,544/153,462
  6. Step 6: Final answer
    x = 732,983.48

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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.