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Finding the Third Proportional to 118,233.19 and 259,460.25

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Solution

The third proportional to 118,233.19 and 259,460.25 is: 569,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,233.19 : 259,460.25 = 259,460.25 : x
  2. Step 2: Convert to fraction form
    118,233.19/259,460.25 = 259,460.25/x
  3. Step 3: Cross multiply
    118,233.19x = 259,460.25 × 259,460.25
  4. Step 4: Simplify right side
    118,233.19x = 67,319,621,330.06
  5. Step 5: Solve for x
    x = 67,319,621,330.06/118,233.19
  6. Step 6: Final answer
    x = 569,380.08

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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.