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Finding the Third Proportional to 90,265.50 and 195,597

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Solution

The third proportional to 90,265.50 and 195,597 is: 423,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,265.50 : 195,597 = 195,597 : x
  2. Step 2: Convert to fraction form
    90,265.50/195,597 = 195,597/x
  3. Step 3: Cross multiply
    90,265.50x = 195,597 × 195,597
  4. Step 4: Simplify right side
    90,265.50x = 38,258,186,409
  5. Step 5: Solve for x
    x = 38,258,186,409/90,265.50
  6. Step 6: Final answer
    x = 423,840.63

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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.