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Finding the Third Proportional to 188,018 and 413,248

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Solution

The third proportional to 188,018 and 413,248 is: 908,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,018 : 413,248 = 413,248 : x
  2. Step 2: Convert to fraction form
    188,018/413,248 = 413,248/x
  3. Step 3: Cross multiply
    188,018x = 413,248 × 413,248
  4. Step 4: Simplify right side
    188,018x = 170,773,909,504
  5. Step 5: Solve for x
    x = 170,773,909,504/188,018
  6. Step 6: Final answer
    x = 908,284.90

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Why These Related Problems?

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