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Finding the Third Proportional to 118,233 and 259,459.88

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Solution

The third proportional to 118,233 and 259,459.88 is: 569,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,233 : 259,459.88 = 259,459.88 : x
  2. Step 2: Convert to fraction form
    118,233/259,459.88 = 259,459.88/x
  3. Step 3: Cross multiply
    118,233x = 259,459.88 × 259,459.88
  4. Step 4: Simplify right side
    118,233x = 67,319,426,735.02
  5. Step 5: Solve for x
    x = 67,319,426,735.02/118,233
  6. Step 6: Final answer
    x = 569,379.33

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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.