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Finding the Third Proportional to 211,164 and 469,548

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Solution

The third proportional to 211,164 and 469,548 is: 1,044,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,164 : 469,548 = 469,548 : x
  2. Step 2: Convert to fraction form
    211,164/469,548 = 469,548/x
  3. Step 3: Cross multiply
    211,164x = 469,548 × 469,548
  4. Step 4: Simplify right side
    211,164x = 220,475,324,304
  5. Step 5: Solve for x
    x = 220,475,324,304/211,164
  6. Step 6: Final answer
    x = 1,044,095.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.