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Finding the Third Proportional to 114,218 and 245,446

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Solution

The third proportional to 114,218 and 245,446 is: 527,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,218 : 245,446 = 245,446 : x
  2. Step 2: Convert to fraction form
    114,218/245,446 = 245,446/x
  3. Step 3: Cross multiply
    114,218x = 245,446 × 245,446
  4. Step 4: Simplify right side
    114,218x = 60,243,738,916
  5. Step 5: Solve for x
    x = 60,243,738,916/114,218
  6. Step 6: Final answer
    x = 527,445.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.