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Finding the Third Proportional to 233,154 and 418,326

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Solution

The third proportional to 233,154 and 418,326 is: 750,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,154 : 418,326 = 418,326 : x
  2. Step 2: Convert to fraction form
    233,154/418,326 = 418,326/x
  3. Step 3: Cross multiply
    233,154x = 418,326 × 418,326
  4. Step 4: Simplify right side
    233,154x = 174,996,642,276
  5. Step 5: Solve for x
    x = 174,996,642,276/233,154
  6. Step 6: Final answer
    x = 750,562.47

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.