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Finding the Third Proportional to 199,002 and 292,590

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Solution

The third proportional to 199,002 and 292,590 is: 430,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,002 : 292,590 = 292,590 : x
  2. Step 2: Convert to fraction form
    199,002/292,590 = 292,590/x
  3. Step 3: Cross multiply
    199,002x = 292,590 × 292,590
  4. Step 4: Simplify right side
    199,002x = 85,608,908,100
  5. Step 5: Solve for x
    x = 85,608,908,100/199,002
  6. Step 6: Final answer
    x = 430,191.19

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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.