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Finding the Third Proportional to 223,836 and 354,434

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Solution

The third proportional to 223,836 and 354,434 is: 561,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,836 : 354,434 = 354,434 : x
  2. Step 2: Convert to fraction form
    223,836/354,434 = 354,434/x
  3. Step 3: Cross multiply
    223,836x = 354,434 × 354,434
  4. Step 4: Simplify right side
    223,836x = 125,623,460,356
  5. Step 5: Solve for x
    x = 125,623,460,356/223,836
  6. Step 6: Final answer
    x = 561,229.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.