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Finding the Third Proportional to 193,807 and 415,640

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Solution

The third proportional to 193,807 and 415,640 is: 891,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,807 : 415,640 = 415,640 : x
  2. Step 2: Convert to fraction form
    193,807/415,640 = 415,640/x
  3. Step 3: Cross multiply
    193,807x = 415,640 × 415,640
  4. Step 4: Simplify right side
    193,807x = 172,756,609,600
  5. Step 5: Solve for x
    x = 172,756,609,600/193,807
  6. Step 6: Final answer
    x = 891,384.78

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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.