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Finding the Third Proportional to 223,310 and 335,006

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Solution

The third proportional to 223,310 and 335,006 is: 502,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,310 : 335,006 = 335,006 : x
  2. Step 2: Convert to fraction form
    223,310/335,006 = 335,006/x
  3. Step 3: Cross multiply
    223,310x = 335,006 × 335,006
  4. Step 4: Simplify right side
    223,310x = 112,229,020,036
  5. Step 5: Solve for x
    x = 112,229,020,036/223,310
  6. Step 6: Final answer
    x = 502,570.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.