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Finding the Third Proportional to 116,894 and 255,657

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Solution

The third proportional to 116,894 and 255,657 is: 559,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,894 : 255,657 = 255,657 : x
  2. Step 2: Convert to fraction form
    116,894/255,657 = 255,657/x
  3. Step 3: Cross multiply
    116,894x = 255,657 × 255,657
  4. Step 4: Simplify right side
    116,894x = 65,360,501,649
  5. Step 5: Solve for x
    x = 65,360,501,649/116,894
  6. Step 6: Final answer
    x = 559,143.34

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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.