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Finding the Third Proportional to 202,732.88 and 292,030.31

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Solution

The third proportional to 202,732.88 and 292,030.31 is: 420,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,732.88 : 292,030.31 = 292,030.31 : x
  2. Step 2: Convert to fraction form
    202,732.88/292,030.31 = 292,030.31/x
  3. Step 3: Cross multiply
    202,732.88x = 292,030.31 × 292,030.31
  4. Step 4: Simplify right side
    202,732.88x = 85,281,703,418.85
  5. Step 5: Solve for x
    x = 85,281,703,418.85/202,732.88
  6. Step 6: Final answer
    x = 420,660.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.