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Finding the Third Proportional to 106,458 and 233,328

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Solution

The third proportional to 106,458 and 233,328 is: 511,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,458 : 233,328 = 233,328 : x
  2. Step 2: Convert to fraction form
    106,458/233,328 = 233,328/x
  3. Step 3: Cross multiply
    106,458x = 233,328 × 233,328
  4. Step 4: Simplify right side
    106,458x = 54,441,955,584
  5. Step 5: Solve for x
    x = 54,441,955,584/106,458
  6. Step 6: Final answer
    x = 511,393.75

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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.