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Finding the Third Proportional to 199,046 and 292,695

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Solution

The third proportional to 199,046 and 292,695 is: 430,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,046 : 292,695 = 292,695 : x
  2. Step 2: Convert to fraction form
    199,046/292,695 = 292,695/x
  3. Step 3: Cross multiply
    199,046x = 292,695 × 292,695
  4. Step 4: Simplify right side
    199,046x = 85,670,363,025
  5. Step 5: Solve for x
    x = 85,670,363,025/199,046
  6. Step 6: Final answer
    x = 430,404.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.