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Finding the Third Proportional to 265,021 and 422,116.50

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Solution

The third proportional to 265,021 and 422,116.50 is: 672,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,021 : 422,116.50 = 422,116.50 : x
  2. Step 2: Convert to fraction form
    265,021/422,116.50 = 422,116.50/x
  3. Step 3: Cross multiply
    265,021x = 422,116.50 × 422,116.50
  4. Step 4: Simplify right side
    265,021x = 178,182,339,572.25
  5. Step 5: Solve for x
    x = 178,182,339,572.25/265,021
  6. Step 6: Final answer
    x = 672,332.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.