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Finding the Third Proportional to 110,710.13 and 229,294.13

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Solution

The third proportional to 110,710.13 and 229,294.13 is: 474,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,710.13 : 229,294.13 = 229,294.13 : x
  2. Step 2: Convert to fraction form
    110,710.13/229,294.13 = 229,294.13/x
  3. Step 3: Cross multiply
    110,710.13x = 229,294.13 × 229,294.13
  4. Step 4: Simplify right side
    110,710.13x = 52,575,795,759.52
  5. Step 5: Solve for x
    x = 52,575,795,759.52/110,710.13
  6. Step 6: Final answer
    x = 474,896.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.