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Finding the Third Proportional to 188,986 and 292,629

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Solution

The third proportional to 188,986 and 292,629 is: 453,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,986 : 292,629 = 292,629 : x
  2. Step 2: Convert to fraction form
    188,986/292,629 = 292,629/x
  3. Step 3: Cross multiply
    188,986x = 292,629 × 292,629
  4. Step 4: Simplify right side
    188,986x = 85,631,731,641
  5. Step 5: Solve for x
    x = 85,631,731,641/188,986
  6. Step 6: Final answer
    x = 453,111.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.