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Finding the Third Proportional to 153,544 and 330,410

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Solution

The third proportional to 153,544 and 330,410 is: 711,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,544 : 330,410 = 330,410 : x
  2. Step 2: Convert to fraction form
    153,544/330,410 = 330,410/x
  3. Step 3: Cross multiply
    153,544x = 330,410 × 330,410
  4. Step 4: Simplify right side
    153,544x = 109,170,768,100
  5. Step 5: Solve for x
    x = 109,170,768,100/153,544
  6. Step 6: Final answer
    x = 711,006.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.