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Finding the Third Proportional to 107,824 and 233,973

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Solution

The third proportional to 107,824 and 233,973 is: 507,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,824 : 233,973 = 233,973 : x
  2. Step 2: Convert to fraction form
    107,824/233,973 = 233,973/x
  3. Step 3: Cross multiply
    107,824x = 233,973 × 233,973
  4. Step 4: Simplify right side
    107,824x = 54,743,364,729
  5. Step 5: Solve for x
    x = 54,743,364,729/107,824
  6. Step 6: Final answer
    x = 507,710.39

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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.