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Finding the Third Proportional to 223,975.13 and 347,302.69

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Solution

The third proportional to 223,975.13 and 347,302.69 is: 538,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,975.13 : 347,302.69 = 347,302.69 : x
  2. Step 2: Convert to fraction form
    223,975.13/347,302.69 = 347,302.69/x
  3. Step 3: Cross multiply
    223,975.13x = 347,302.69 × 347,302.69
  4. Step 4: Simplify right side
    223,975.13x = 120,619,156,744.72
  5. Step 5: Solve for x
    x = 120,619,156,744.72/223,975.13
  6. Step 6: Final answer
    x = 538,538.18

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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.