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Finding the Third Proportional to 200,014 and 292,120

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Solution

The third proportional to 200,014 and 292,120 is: 426,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,014 : 292,120 = 292,120 : x
  2. Step 2: Convert to fraction form
    200,014/292,120 = 292,120/x
  3. Step 3: Cross multiply
    200,014x = 292,120 × 292,120
  4. Step 4: Simplify right side
    200,014x = 85,334,094,400
  5. Step 5: Solve for x
    x = 85,334,094,400/200,014
  6. Step 6: Final answer
    x = 426,640.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.