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Finding the Third Proportional to 118,222 and 259,437

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Solution

The third proportional to 118,222 and 259,437 is: 569,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,222 : 259,437 = 259,437 : x
  2. Step 2: Convert to fraction form
    118,222/259,437 = 259,437/x
  3. Step 3: Cross multiply
    118,222x = 259,437 × 259,437
  4. Step 4: Simplify right side
    118,222x = 67,307,556,969
  5. Step 5: Solve for x
    x = 67,307,556,969/118,222
  6. Step 6: Final answer
    x = 569,331.91

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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.