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Finding the Third Proportional to 200,014.50 and 292,122

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Solution

The third proportional to 200,014.50 and 292,122 is: 426,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,014.50 : 292,122 = 292,122 : x
  2. Step 2: Convert to fraction form
    200,014.50/292,122 = 292,122/x
  3. Step 3: Cross multiply
    200,014.50x = 292,122 × 292,122
  4. Step 4: Simplify right side
    200,014.50x = 85,335,262,884
  5. Step 5: Solve for x
    x = 85,335,262,884/200,014.50
  6. Step 6: Final answer
    x = 426,645.38

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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.