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Finding the Third Proportional to 114,588 and 168,369

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Solution

The third proportional to 114,588 and 168,369 is: 247,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,588 : 168,369 = 168,369 : x
  2. Step 2: Convert to fraction form
    114,588/168,369 = 168,369/x
  3. Step 3: Cross multiply
    114,588x = 168,369 × 168,369
  4. Step 4: Simplify right side
    114,588x = 28,348,120,161
  5. Step 5: Solve for x
    x = 28,348,120,161/114,588
  6. Step 6: Final answer
    x = 247,391.70

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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.