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Finding the Third Proportional to 195,319.50 and 418,287

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Solution

The third proportional to 195,319.50 and 418,287 is: 895,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,319.50 : 418,287 = 418,287 : x
  2. Step 2: Convert to fraction form
    195,319.50/418,287 = 418,287/x
  3. Step 3: Cross multiply
    195,319.50x = 418,287 × 418,287
  4. Step 4: Simplify right side
    195,319.50x = 174,964,014,369
  5. Step 5: Solve for x
    x = 174,964,014,369/195,319.50
  6. Step 6: Final answer
    x = 895,783.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.