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Finding the Third Proportional to 223,389 and 337,140

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Solution

The third proportional to 223,389 and 337,140 is: 508,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,389 : 337,140 = 337,140 : x
  2. Step 2: Convert to fraction form
    223,389/337,140 = 337,140/x
  3. Step 3: Cross multiply
    223,389x = 337,140 × 337,140
  4. Step 4: Simplify right side
    223,389x = 113,663,379,600
  5. Step 5: Solve for x
    x = 113,663,379,600/223,389
  6. Step 6: Final answer
    x = 508,813.68

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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.