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Finding the Third Proportional to 223,841 and 343,785

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Solution

The third proportional to 223,841 and 343,785 is: 528,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,841 : 343,785 = 343,785 : x
  2. Step 2: Convert to fraction form
    223,841/343,785 = 343,785/x
  3. Step 3: Cross multiply
    223,841x = 343,785 × 343,785
  4. Step 4: Simplify right side
    223,841x = 118,188,126,225
  5. Step 5: Solve for x
    x = 118,188,126,225/223,841
  6. Step 6: Final answer
    x = 528,000.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.