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Finding the Third Proportional to 158,871 and 330,810

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Solution

The third proportional to 158,871 and 330,810 is: 688,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,871 : 330,810 = 330,810 : x
  2. Step 2: Convert to fraction form
    158,871/330,810 = 330,810/x
  3. Step 3: Cross multiply
    158,871x = 330,810 × 330,810
  4. Step 4: Simplify right side
    158,871x = 109,435,256,100
  5. Step 5: Solve for x
    x = 109,435,256,100/158,871
  6. Step 6: Final answer
    x = 688,830.91

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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.