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Finding the Third Proportional to 213,045 and 466,182

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Solution

The third proportional to 213,045 and 466,182 is: 1,020,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,045 : 466,182 = 466,182 : x
  2. Step 2: Convert to fraction form
    213,045/466,182 = 466,182/x
  3. Step 3: Cross multiply
    213,045x = 466,182 × 466,182
  4. Step 4: Simplify right side
    213,045x = 217,325,657,124
  5. Step 5: Solve for x
    x = 217,325,657,124/213,045
  6. Step 6: Final answer
    x = 1,020,092.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.