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Finding the Third Proportional to 152,614 and 330,651

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Solution

The third proportional to 152,614 and 330,651 is: 716,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,614 : 330,651 = 330,651 : x
  2. Step 2: Convert to fraction form
    152,614/330,651 = 330,651/x
  3. Step 3: Cross multiply
    152,614x = 330,651 × 330,651
  4. Step 4: Simplify right side
    152,614x = 109,330,083,801
  5. Step 5: Solve for x
    x = 109,330,083,801/152,614
  6. Step 6: Final answer
    x = 716,383.06

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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.