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Finding the Third Proportional to 229,108.50 and 503,046

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Solution

The third proportional to 229,108.50 and 503,046 is: 1,104,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,108.50 : 503,046 = 503,046 : x
  2. Step 2: Convert to fraction form
    229,108.50/503,046 = 503,046/x
  3. Step 3: Cross multiply
    229,108.50x = 503,046 × 503,046
  4. Step 4: Simplify right side
    229,108.50x = 253,055,278,116
  5. Step 5: Solve for x
    x = 253,055,278,116/229,108.50
  6. Step 6: Final answer
    x = 1,104,521.56

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