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Finding the Third Proportional to 106,315 and 230,085

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Solution

The third proportional to 106,315 and 230,085 is: 497,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315 : 230,085 = 230,085 : x
  2. Step 2: Convert to fraction form
    106,315/230,085 = 230,085/x
  3. Step 3: Cross multiply
    106,315x = 230,085 × 230,085
  4. Step 4: Simplify right side
    106,315x = 52,939,107,225
  5. Step 5: Solve for x
    x = 52,939,107,225/106,315
  6. Step 6: Final answer
    x = 497,945.80

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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.