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Finding the Third Proportional to 223,210.13 and 335,323.13

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Solution

The third proportional to 223,210.13 and 335,323.13 is: 503,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,210.13 : 335,323.13 = 335,323.13 : x
  2. Step 2: Convert to fraction form
    223,210.13/335,323.13 = 335,323.13/x
  3. Step 3: Cross multiply
    223,210.13x = 335,323.13 × 335,323.13
  4. Step 4: Simplify right side
    223,210.13x = 112,441,598,159.77
  5. Step 5: Solve for x
    x = 112,441,598,159.77/223,210.13
  6. Step 6: Final answer
    x = 503,747.75

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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.