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Finding the Third Proportional to 117,297 and 255,765

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Solution

The third proportional to 117,297 and 255,765 is: 557,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,297 : 255,765 = 255,765 : x
  2. Step 2: Convert to fraction form
    117,297/255,765 = 255,765/x
  3. Step 3: Cross multiply
    117,297x = 255,765 × 255,765
  4. Step 4: Simplify right side
    117,297x = 65,415,735,225
  5. Step 5: Solve for x
    x = 65,415,735,225/117,297
  6. Step 6: Final answer
    x = 557,693.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.