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Finding the Third Proportional to 107,569.50 and 233,283

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Solution

The third proportional to 107,569.50 and 233,283 is: 505,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,569.50 : 233,283 = 233,283 : x
  2. Step 2: Convert to fraction form
    107,569.50/233,283 = 233,283/x
  3. Step 3: Cross multiply
    107,569.50x = 233,283 × 233,283
  4. Step 4: Simplify right side
    107,569.50x = 54,420,958,089
  5. Step 5: Solve for x
    x = 54,420,958,089/107,569.50
  6. Step 6: Final answer
    x = 505,914.39

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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.