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Finding the Third Proportional to 223,788 and 337,842

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Solution

The third proportional to 223,788 and 337,842 is: 510,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,788 : 337,842 = 337,842 : x
  2. Step 2: Convert to fraction form
    223,788/337,842 = 337,842/x
  3. Step 3: Cross multiply
    223,788x = 337,842 × 337,842
  4. Step 4: Simplify right side
    223,788x = 114,137,216,964
  5. Step 5: Solve for x
    x = 114,137,216,964/223,788
  6. Step 6: Final answer
    x = 510,023.85

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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.