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Finding the Third Proportional to 195,509 and 292,399

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Solution

The third proportional to 195,509 and 292,399 is: 437,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,509 : 292,399 = 292,399 : x
  2. Step 2: Convert to fraction form
    195,509/292,399 = 292,399/x
  3. Step 3: Cross multiply
    195,509x = 292,399 × 292,399
  4. Step 4: Simplify right side
    195,509x = 85,497,175,201
  5. Step 5: Solve for x
    x = 85,497,175,201/195,509
  6. Step 6: Final answer
    x = 437,305.57

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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.