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Finding the Third Proportional to 116,543 and 254,875

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Solution

The third proportional to 116,543 and 254,875 is: 557,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,543 : 254,875 = 254,875 : x
  2. Step 2: Convert to fraction form
    116,543/254,875 = 254,875/x
  3. Step 3: Cross multiply
    116,543x = 254,875 × 254,875
  4. Step 4: Simplify right side
    116,543x = 64,961,265,625
  5. Step 5: Solve for x
    x = 64,961,265,625/116,543
  6. Step 6: Final answer
    x = 557,401.69

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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.