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Finding the Third Proportional to 103,335 and 226,998

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Solution

The third proportional to 103,335 and 226,998 is: 498,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,335 : 226,998 = 226,998 : x
  2. Step 2: Convert to fraction form
    103,335/226,998 = 226,998/x
  3. Step 3: Cross multiply
    103,335x = 226,998 × 226,998
  4. Step 4: Simplify right side
    103,335x = 51,528,092,004
  5. Step 5: Solve for x
    x = 51,528,092,004/103,335
  6. Step 6: Final answer
    x = 498,650.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.