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Finding the Third Proportional to 103,477.50 and 226,827

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Solution

The third proportional to 103,477.50 and 226,827 is: 497,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477.50 : 226,827 = 226,827 : x
  2. Step 2: Convert to fraction form
    103,477.50/226,827 = 226,827/x
  3. Step 3: Cross multiply
    103,477.50x = 226,827 × 226,827
  4. Step 4: Simplify right side
    103,477.50x = 51,450,487,929
  5. Step 5: Solve for x
    x = 51,450,487,929/103,477.50
  6. Step 6: Final answer
    x = 497,214.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.