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Finding the Third Proportional to 158,795 and 330,658

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Solution

The third proportional to 158,795 and 330,658 is: 688,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,795 : 330,658 = 330,658 : x
  2. Step 2: Convert to fraction form
    158,795/330,658 = 330,658/x
  3. Step 3: Cross multiply
    158,795x = 330,658 × 330,658
  4. Step 4: Simplify right side
    158,795x = 109,334,712,964
  5. Step 5: Solve for x
    x = 109,334,712,964/158,795
  6. Step 6: Final answer
    x = 688,527.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.