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Finding the Third Proportional to 153,786 and 330,562

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Solution

The third proportional to 153,786 and 330,562 is: 710,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,786 : 330,562 = 330,562 : x
  2. Step 2: Convert to fraction form
    153,786/330,562 = 330,562/x
  3. Step 3: Cross multiply
    153,786x = 330,562 × 330,562
  4. Step 4: Simplify right side
    153,786x = 109,271,235,844
  5. Step 5: Solve for x
    x = 109,271,235,844/153,786
  6. Step 6: Final answer
    x = 710,540.85

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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.