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Finding the Third Proportional to 195,114 and 291,835

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Solution

The third proportional to 195,114 and 291,835 is: 436,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,114 : 291,835 = 291,835 : x
  2. Step 2: Convert to fraction form
    195,114/291,835 = 291,835/x
  3. Step 3: Cross multiply
    195,114x = 291,835 × 291,835
  4. Step 4: Simplify right side
    195,114x = 85,167,667,225
  5. Step 5: Solve for x
    x = 85,167,667,225/195,114
  6. Step 6: Final answer
    x = 436,502.08

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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.