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Finding the Third Proportional to 202,770 and 292,077

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Solution

The third proportional to 202,770 and 292,077 is: 420,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,770 : 292,077 = 292,077 : x
  2. Step 2: Convert to fraction form
    202,770/292,077 = 292,077/x
  3. Step 3: Cross multiply
    202,770x = 292,077 × 292,077
  4. Step 4: Simplify right side
    202,770x = 85,308,973,929
  5. Step 5: Solve for x
    x = 85,308,973,929/202,770
  6. Step 6: Final answer
    x = 420,717.93

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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.