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Finding the Third Proportional to 193,266 and 292,572

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Solution

The third proportional to 193,266 and 292,572 is: 442,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,266 : 292,572 = 292,572 : x
  2. Step 2: Convert to fraction form
    193,266/292,572 = 292,572/x
  3. Step 3: Cross multiply
    193,266x = 292,572 × 292,572
  4. Step 4: Simplify right side
    193,266x = 85,598,375,184
  5. Step 5: Solve for x
    x = 85,598,375,184/193,266
  6. Step 6: Final answer
    x = 442,904.47

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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.