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Finding the Third Proportional to 223,866 and 337,955

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Solution

The third proportional to 223,866 and 337,955 is: 510,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,866 : 337,955 = 337,955 : x
  2. Step 2: Convert to fraction form
    223,866/337,955 = 337,955/x
  3. Step 3: Cross multiply
    223,866x = 337,955 × 337,955
  4. Step 4: Simplify right side
    223,866x = 114,213,582,025
  5. Step 5: Solve for x
    x = 114,213,582,025/223,866
  6. Step 6: Final answer
    x = 510,187.26

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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.