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Finding the Third Proportional to 116,284 and 251,160

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Solution

The third proportional to 116,284 and 251,160 is: 542,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,284 : 251,160 = 251,160 : x
  2. Step 2: Convert to fraction form
    116,284/251,160 = 251,160/x
  3. Step 3: Cross multiply
    116,284x = 251,160 × 251,160
  4. Step 4: Simplify right side
    116,284x = 63,081,345,600
  5. Step 5: Solve for x
    x = 63,081,345,600/116,284
  6. Step 6: Final answer
    x = 542,476.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.