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Finding the Third Proportional to 121,696 and 266,332

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Solution

The third proportional to 121,696 and 266,332 is: 582,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,696 : 266,332 = 266,332 : x
  2. Step 2: Convert to fraction form
    121,696/266,332 = 266,332/x
  3. Step 3: Cross multiply
    121,696x = 266,332 × 266,332
  4. Step 4: Simplify right side
    121,696x = 70,932,734,224
  5. Step 5: Solve for x
    x = 70,932,734,224/121,696
  6. Step 6: Final answer
    x = 582,868.25

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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.