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Finding the Third Proportional to 195,282 and 292,923

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Solution

The third proportional to 195,282 and 292,923 is: 439,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,282 : 292,923 = 292,923 : x
  2. Step 2: Convert to fraction form
    195,282/292,923 = 292,923/x
  3. Step 3: Cross multiply
    195,282x = 292,923 × 292,923
  4. Step 4: Simplify right side
    195,282x = 85,803,883,929
  5. Step 5: Solve for x
    x = 85,803,883,929/195,282
  6. Step 6: Final answer
    x = 439,384.50

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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.