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Finding the Third Proportional to 195,597 and 292,666

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Solution

The third proportional to 195,597 and 292,666 is: 437,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,597 : 292,666 = 292,666 : x
  2. Step 2: Convert to fraction form
    195,597/292,666 = 292,666/x
  3. Step 3: Cross multiply
    195,597x = 292,666 × 292,666
  4. Step 4: Simplify right side
    195,597x = 85,653,387,556
  5. Step 5: Solve for x
    x = 85,653,387,556/195,597
  6. Step 6: Final answer
    x = 437,907.47

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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.