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Finding the Third Proportional to 114,494 and 168,315

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Solution

The third proportional to 114,494 and 168,315 is: 247,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,494 : 168,315 = 168,315 : x
  2. Step 2: Convert to fraction form
    114,494/168,315 = 168,315/x
  3. Step 3: Cross multiply
    114,494x = 168,315 × 168,315
  4. Step 4: Simplify right side
    114,494x = 28,329,939,225
  5. Step 5: Solve for x
    x = 28,329,939,225/114,494
  6. Step 6: Final answer
    x = 247,436.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.