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Finding the Third Proportional to 106,588 and 233,216

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Solution

The third proportional to 106,588 and 233,216 is: 510,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,588 : 233,216 = 233,216 : x
  2. Step 2: Convert to fraction form
    106,588/233,216 = 233,216/x
  3. Step 3: Cross multiply
    106,588x = 233,216 × 233,216
  4. Step 4: Simplify right side
    106,588x = 54,389,702,656
  5. Step 5: Solve for x
    x = 54,389,702,656/106,588
  6. Step 6: Final answer
    x = 510,279.79

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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.