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Finding the Third Proportional to 95,312 and 206,315

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Solution

The third proportional to 95,312 and 206,315 is: 446,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,312 : 206,315 = 206,315 : x
  2. Step 2: Convert to fraction form
    95,312/206,315 = 206,315/x
  3. Step 3: Cross multiply
    95,312x = 206,315 × 206,315
  4. Step 4: Simplify right side
    95,312x = 42,565,879,225
  5. Step 5: Solve for x
    x = 42,565,879,225/95,312
  6. Step 6: Final answer
    x = 446,595.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.