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Finding the Third Proportional to 195,214 and 292,052

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Solution

The third proportional to 195,214 and 292,052 is: 436,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,214 : 292,052 = 292,052 : x
  2. Step 2: Convert to fraction form
    195,214/292,052 = 292,052/x
  3. Step 3: Cross multiply
    195,214x = 292,052 × 292,052
  4. Step 4: Simplify right side
    195,214x = 85,294,370,704
  5. Step 5: Solve for x
    x = 85,294,370,704/195,214
  6. Step 6: Final answer
    x = 436,927.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.