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Finding the Third Proportional to 195,106 and 291,827

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Solution

The third proportional to 195,106 and 291,827 is: 436,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,106 : 291,827 = 291,827 : x
  2. Step 2: Convert to fraction form
    195,106/291,827 = 291,827/x
  3. Step 3: Cross multiply
    195,106x = 291,827 × 291,827
  4. Step 4: Simplify right side
    195,106x = 85,162,997,929
  5. Step 5: Solve for x
    x = 85,162,997,929/195,106
  6. Step 6: Final answer
    x = 436,496.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.