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Finding the Third Proportional to 200,292 and 310,026

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Solution

The third proportional to 200,292 and 310,026 is: 479,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,292 : 310,026 = 310,026 : x
  2. Step 2: Convert to fraction form
    200,292/310,026 = 310,026/x
  3. Step 3: Cross multiply
    200,292x = 310,026 × 310,026
  4. Step 4: Simplify right side
    200,292x = 96,116,120,676
  5. Step 5: Solve for x
    x = 96,116,120,676/200,292
  6. Step 6: Final answer
    x = 479,879.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.