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Finding the Third Proportional to 195,484 and 302,205

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Solution

The third proportional to 195,484 and 302,205 is: 467,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,484 : 302,205 = 302,205 : x
  2. Step 2: Convert to fraction form
    195,484/302,205 = 302,205/x
  3. Step 3: Cross multiply
    195,484x = 302,205 × 302,205
  4. Step 4: Simplify right side
    195,484x = 91,327,862,025
  5. Step 5: Solve for x
    x = 91,327,862,025/195,484
  6. Step 6: Final answer
    x = 467,188.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.