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Finding the Third Proportional to 229,088.25 and 503,344.13

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Solution

The third proportional to 229,088.25 and 503,344.13 is: 1,105,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,088.25 : 503,344.13 = 503,344.13 : x
  2. Step 2: Convert to fraction form
    229,088.25/503,344.13 = 503,344.13/x
  3. Step 3: Cross multiply
    229,088.25x = 503,344.13 × 503,344.13
  4. Step 4: Simplify right side
    229,088.25x = 253,355,308,172.02
  5. Step 5: Solve for x
    x = 253,355,308,172.02/229,088.25
  6. Step 6: Final answer
    x = 1,105,928.86

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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.