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Finding the Third Proportional to 106,697 and 233,080

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Solution

The third proportional to 106,697 and 233,080 is: 509,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,697 : 233,080 = 233,080 : x
  2. Step 2: Convert to fraction form
    106,697/233,080 = 233,080/x
  3. Step 3: Cross multiply
    106,697x = 233,080 × 233,080
  4. Step 4: Simplify right side
    106,697x = 54,326,286,400
  5. Step 5: Solve for x
    x = 54,326,286,400/106,697
  6. Step 6: Final answer
    x = 509,164.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.