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Finding the Third Proportional to 111,710.81 and 239,412.38

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Solution

The third proportional to 111,710.81 and 239,412.38 is: 513,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,710.81 : 239,412.38 = 239,412.38 : x
  2. Step 2: Convert to fraction form
    111,710.81/239,412.38 = 239,412.38/x
  3. Step 3: Cross multiply
    111,710.81x = 239,412.38 × 239,412.38
  4. Step 4: Simplify right side
    111,710.81x = 57,318,285,303.14
  5. Step 5: Solve for x
    x = 57,318,285,303.14/111,710.81
  6. Step 6: Final answer
    x = 513,095.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.