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Finding the Third Proportional to 115,516 and 250,796

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Solution

The third proportional to 115,516 and 250,796 is: 544,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,516 : 250,796 = 250,796 : x
  2. Step 2: Convert to fraction form
    115,516/250,796 = 250,796/x
  3. Step 3: Cross multiply
    115,516x = 250,796 × 250,796
  4. Step 4: Simplify right side
    115,516x = 62,898,633,616
  5. Step 5: Solve for x
    x = 62,898,633,616/115,516
  6. Step 6: Final answer
    x = 544,501.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.