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Finding the Third Proportional to 223,740 and 337,158

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Solution

The third proportional to 223,740 and 337,158 is: 508,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,740 : 337,158 = 337,158 : x
  2. Step 2: Convert to fraction form
    223,740/337,158 = 337,158/x
  3. Step 3: Cross multiply
    223,740x = 337,158 × 337,158
  4. Step 4: Simplify right side
    223,740x = 113,675,516,964
  5. Step 5: Solve for x
    x = 113,675,516,964/223,740
  6. Step 6: Final answer
    x = 508,069.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.