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Finding the Third Proportional to 118,184 and 259,332

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Solution

The third proportional to 118,184 and 259,332 is: 569,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,184 : 259,332 = 259,332 : x
  2. Step 2: Convert to fraction form
    118,184/259,332 = 259,332/x
  3. Step 3: Cross multiply
    118,184x = 259,332 × 259,332
  4. Step 4: Simplify right side
    118,184x = 67,253,086,224
  5. Step 5: Solve for x
    x = 67,253,086,224/118,184
  6. Step 6: Final answer
    x = 569,054.07

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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.