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Finding the Third Proportional to 107,823 and 233,972

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Solution

The third proportional to 107,823 and 233,972 is: 507,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,823 : 233,972 = 233,972 : x
  2. Step 2: Convert to fraction form
    107,823/233,972 = 233,972/x
  3. Step 3: Cross multiply
    107,823x = 233,972 × 233,972
  4. Step 4: Simplify right side
    107,823x = 54,742,896,784
  5. Step 5: Solve for x
    x = 54,742,896,784/107,823
  6. Step 6: Final answer
    x = 507,710.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.