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Finding the Third Proportional to 223,886 and 346,673

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Solution

The third proportional to 223,886 and 346,673 is: 536,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,886 : 346,673 = 346,673 : x
  2. Step 2: Convert to fraction form
    223,886/346,673 = 346,673/x
  3. Step 3: Cross multiply
    223,886x = 346,673 × 346,673
  4. Step 4: Simplify right side
    223,886x = 120,182,168,929
  5. Step 5: Solve for x
    x = 120,182,168,929/223,886
  6. Step 6: Final answer
    x = 536,800.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.