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Finding the Third Proportional to 225,656 and 348,268

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Solution

The third proportional to 225,656 and 348,268 is: 537,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,656 : 348,268 = 348,268 : x
  2. Step 2: Convert to fraction form
    225,656/348,268 = 348,268/x
  3. Step 3: Cross multiply
    225,656x = 348,268 × 348,268
  4. Step 4: Simplify right side
    225,656x = 121,290,599,824
  5. Step 5: Solve for x
    x = 121,290,599,824/225,656
  6. Step 6: Final answer
    x = 537,502.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.