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Finding the Third Proportional to 152,321 and 330,562

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Solution

The third proportional to 152,321 and 330,562 is: 717,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,321 : 330,562 = 330,562 : x
  2. Step 2: Convert to fraction form
    152,321/330,562 = 330,562/x
  3. Step 3: Cross multiply
    152,321x = 330,562 × 330,562
  4. Step 4: Simplify right side
    152,321x = 109,271,235,844
  5. Step 5: Solve for x
    x = 109,271,235,844/152,321
  6. Step 6: Final answer
    x = 717,374.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.