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Finding the Third Proportional to 158,724 and 330,594

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Solution

The third proportional to 158,724 and 330,594 is: 688,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,724 : 330,594 = 330,594 : x
  2. Step 2: Convert to fraction form
    158,724/330,594 = 330,594/x
  3. Step 3: Cross multiply
    158,724x = 330,594 × 330,594
  4. Step 4: Simplify right side
    158,724x = 109,292,392,836
  5. Step 5: Solve for x
    x = 109,292,392,836/158,724
  6. Step 6: Final answer
    x = 688,568.79

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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.