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Finding the Third Proportional to 141,554 and 333,683

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Solution

The third proportional to 141,554 and 333,683 is: 786,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,554 : 333,683 = 333,683 : x
  2. Step 2: Convert to fraction form
    141,554/333,683 = 333,683/x
  3. Step 3: Cross multiply
    141,554x = 333,683 × 333,683
  4. Step 4: Simplify right side
    141,554x = 111,344,344,489
  5. Step 5: Solve for x
    x = 111,344,344,489/141,554
  6. Step 6: Final answer
    x = 786,585.65

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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.