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Finding the Third Proportional to 193,281 and 292,595

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Solution

The third proportional to 193,281 and 292,595 is: 442,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,281 : 292,595 = 292,595 : x
  2. Step 2: Convert to fraction form
    193,281/292,595 = 292,595/x
  3. Step 3: Cross multiply
    193,281x = 292,595 × 292,595
  4. Step 4: Simplify right side
    193,281x = 85,611,834,025
  5. Step 5: Solve for x
    x = 85,611,834,025/193,281
  6. Step 6: Final answer
    x = 442,939.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.