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Finding the Third Proportional to 182,222 and 400,316

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Solution

The third proportional to 182,222 and 400,316 is: 879,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,222 : 400,316 = 400,316 : x
  2. Step 2: Convert to fraction form
    182,222/400,316 = 400,316/x
  3. Step 3: Cross multiply
    182,222x = 400,316 × 400,316
  4. Step 4: Simplify right side
    182,222x = 160,252,899,856
  5. Step 5: Solve for x
    x = 160,252,899,856/182,222
  6. Step 6: Final answer
    x = 879,437.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.