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Finding the Third Proportional to 193,258.50 and 292,005

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Solution

The third proportional to 193,258.50 and 292,005 is: 441,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,258.50 : 292,005 = 292,005 : x
  2. Step 2: Convert to fraction form
    193,258.50/292,005 = 292,005/x
  3. Step 3: Cross multiply
    193,258.50x = 292,005 × 292,005
  4. Step 4: Simplify right side
    193,258.50x = 85,266,920,025
  5. Step 5: Solve for x
    x = 85,266,920,025/193,258.50
  6. Step 6: Final answer
    x = 441,206.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.