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Finding the Third Proportional to 175,476.75 and 193,929.38

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Solution

The third proportional to 175,476.75 and 193,929.38 is: 214,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,476.75 : 193,929.38 = 193,929.38 : x
  2. Step 2: Convert to fraction form
    175,476.75/193,929.38 = 193,929.38/x
  3. Step 3: Cross multiply
    175,476.75x = 193,929.38 × 193,929.38
  4. Step 4: Simplify right side
    175,476.75x = 37,608,602,487.89
  5. Step 5: Solve for x
    x = 37,608,602,487.89/175,476.75
  6. Step 6: Final answer
    x = 214,322.42

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.