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Finding the Third Proportional to 223,209 and 336,826.13

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Solution

The third proportional to 223,209 and 336,826.13 is: 508,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,209 : 336,826.13 = 336,826.13 : x
  2. Step 2: Convert to fraction form
    223,209/336,826.13 = 336,826.13/x
  3. Step 3: Cross multiply
    223,209x = 336,826.13 × 336,826.13
  4. Step 4: Simplify right side
    223,209x = 113,451,838,482.52
  5. Step 5: Solve for x
    x = 113,451,838,482.52/223,209
  6. Step 6: Final answer
    x = 508,276.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.