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Finding the Third Proportional to 223,039.13 and 334,627.88

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Solution

The third proportional to 223,039.13 and 334,627.88 is: 502,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,039.13 : 334,627.88 = 334,627.88 : x
  2. Step 2: Convert to fraction form
    223,039.13/334,627.88 = 334,627.88/x
  3. Step 3: Cross multiply
    223,039.13x = 334,627.88 × 334,627.88
  4. Step 4: Simplify right side
    223,039.13x = 111,975,814,727.02
  5. Step 5: Solve for x
    x = 111,975,814,727.02/223,039.13
  6. Step 6: Final answer
    x = 502,045.62

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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.