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Finding the Third Proportional to 193,007.81 and 292,792.22

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Solution

The third proportional to 193,007.81 and 292,792.22 is: 444,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,007.81 : 292,792.22 = 292,792.22 : x
  2. Step 2: Convert to fraction form
    193,007.81/292,792.22 = 292,792.22/x
  3. Step 3: Cross multiply
    193,007.81x = 292,792.22 × 292,792.22
  4. Step 4: Simplify right side
    193,007.81x = 85,727,283,360.55
  5. Step 5: Solve for x
    x = 85,727,283,360.55/193,007.81
  6. Step 6: Final answer
    x = 444,164.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.