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Finding the Third Proportional to 141,522 and 333,609

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Solution

The third proportional to 141,522 and 333,609 is: 786,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,522 : 333,609 = 333,609 : x
  2. Step 2: Convert to fraction form
    141,522/333,609 = 333,609/x
  3. Step 3: Cross multiply
    141,522x = 333,609 × 333,609
  4. Step 4: Simplify right side
    141,522x = 111,294,964,881
  5. Step 5: Solve for x
    x = 111,294,964,881/141,522
  6. Step 6: Final answer
    x = 786,414.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.