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Finding the Third Proportional to 116,890 and 255,649

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Solution

The third proportional to 116,890 and 255,649 is: 559,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,890 : 255,649 = 255,649 : x
  2. Step 2: Convert to fraction form
    116,890/255,649 = 255,649/x
  3. Step 3: Cross multiply
    116,890x = 255,649 × 255,649
  4. Step 4: Simplify right side
    116,890x = 65,356,411,201
  5. Step 5: Solve for x
    x = 65,356,411,201/116,890
  6. Step 6: Final answer
    x = 559,127.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.