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Finding the Third Proportional to 195,286 and 292,929

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Solution

The third proportional to 195,286 and 292,929 is: 439,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,286 : 292,929 = 292,929 : x
  2. Step 2: Convert to fraction form
    195,286/292,929 = 292,929/x
  3. Step 3: Cross multiply
    195,286x = 292,929 × 292,929
  4. Step 4: Simplify right side
    195,286x = 85,807,399,041
  5. Step 5: Solve for x
    x = 85,807,399,041/195,286
  6. Step 6: Final answer
    x = 439,393.50

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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.