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Finding the Third Proportional to 223,766 and 312,859

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Solution

The third proportional to 223,766 and 312,859 is: 437,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,766 : 312,859 = 312,859 : x
  2. Step 2: Convert to fraction form
    223,766/312,859 = 312,859/x
  3. Step 3: Cross multiply
    223,766x = 312,859 × 312,859
  4. Step 4: Simplify right side
    223,766x = 97,880,753,881
  5. Step 5: Solve for x
    x = 97,880,753,881/223,766
  6. Step 6: Final answer
    x = 437,424.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.