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Finding the Third Proportional to 202,362 and 292,354.50

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Solution

The third proportional to 202,362 and 292,354.50 is: 422,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,362 : 292,354.50 = 292,354.50 : x
  2. Step 2: Convert to fraction form
    202,362/292,354.50 = 292,354.50/x
  3. Step 3: Cross multiply
    202,362x = 292,354.50 × 292,354.50
  4. Step 4: Simplify right side
    202,362x = 85,471,153,670.25
  5. Step 5: Solve for x
    x = 85,471,153,670.25/202,362
  6. Step 6: Final answer
    x = 422,367.61

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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.