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Finding the Third Proportional to 106,702 and 233,491

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Solution

The third proportional to 106,702 and 233,491 is: 510,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,702 : 233,491 = 233,491 : x
  2. Step 2: Convert to fraction form
    106,702/233,491 = 233,491/x
  3. Step 3: Cross multiply
    106,702x = 233,491 × 233,491
  4. Step 4: Simplify right side
    106,702x = 54,518,047,081
  5. Step 5: Solve for x
    x = 54,518,047,081/106,702
  6. Step 6: Final answer
    x = 510,937.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.