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Finding the Third Proportional to 121,844 and 282,052

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Solution

The third proportional to 121,844 and 282,052 is: 652,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,844 : 282,052 = 282,052 : x
  2. Step 2: Convert to fraction form
    121,844/282,052 = 282,052/x
  3. Step 3: Cross multiply
    121,844x = 282,052 × 282,052
  4. Step 4: Simplify right side
    121,844x = 79,553,330,704
  5. Step 5: Solve for x
    x = 79,553,330,704/121,844
  6. Step 6: Final answer
    x = 652,911.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.