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Finding the Third Proportional to 195,569 and 310,851

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Solution

The third proportional to 195,569 and 310,851 is: 494,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,569 : 310,851 = 310,851 : x
  2. Step 2: Convert to fraction form
    195,569/310,851 = 310,851/x
  3. Step 3: Cross multiply
    195,569x = 310,851 × 310,851
  4. Step 4: Simplify right side
    195,569x = 96,628,344,201
  5. Step 5: Solve for x
    x = 96,628,344,201/195,569
  6. Step 6: Final answer
    x = 494,088.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.