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Finding the Third Proportional to 195,328.50 and 414,638

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Solution

The third proportional to 195,328.50 and 414,638 is: 880,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,328.50 : 414,638 = 414,638 : x
  2. Step 2: Convert to fraction form
    195,328.50/414,638 = 414,638/x
  3. Step 3: Cross multiply
    195,328.50x = 414,638 × 414,638
  4. Step 4: Simplify right side
    195,328.50x = 171,924,671,044
  5. Step 5: Solve for x
    x = 171,924,671,044/195,328.50
  6. Step 6: Final answer
    x = 880,182.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.