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Finding the Third Proportional to 223,356 and 486,106

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Solution

The third proportional to 223,356 and 486,106 is: 1,057,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,356 : 486,106 = 486,106 : x
  2. Step 2: Convert to fraction form
    223,356/486,106 = 486,106/x
  3. Step 3: Cross multiply
    223,356x = 486,106 × 486,106
  4. Step 4: Simplify right side
    223,356x = 236,299,043,236
  5. Step 5: Solve for x
    x = 236,299,043,236/223,356
  6. Step 6: Final answer
    x = 1,057,948.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.