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Finding the Third Proportional to 118,179 and 259,319

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Solution

The third proportional to 118,179 and 259,319 is: 569,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,179 : 259,319 = 259,319 : x
  2. Step 2: Convert to fraction form
    118,179/259,319 = 259,319/x
  3. Step 3: Cross multiply
    118,179x = 259,319 × 259,319
  4. Step 4: Simplify right side
    118,179x = 67,246,343,761
  5. Step 5: Solve for x
    x = 67,246,343,761/118,179
  6. Step 6: Final answer
    x = 569,021.09

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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.