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Finding the Third Proportional to 152,315 and 330,052

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Solution

The third proportional to 152,315 and 330,052 is: 715,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,315 : 330,052 = 330,052 : x
  2. Step 2: Convert to fraction form
    152,315/330,052 = 330,052/x
  3. Step 3: Cross multiply
    152,315x = 330,052 × 330,052
  4. Step 4: Simplify right side
    152,315x = 108,934,322,704
  5. Step 5: Solve for x
    x = 108,934,322,704/152,315
  6. Step 6: Final answer
    x = 715,191.04

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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.