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Finding the Third Proportional to 181,397 and 286,007

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Solution

The third proportional to 181,397 and 286,007 is: 450,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,397 : 286,007 = 286,007 : x
  2. Step 2: Convert to fraction form
    181,397/286,007 = 286,007/x
  3. Step 3: Cross multiply
    181,397x = 286,007 × 286,007
  4. Step 4: Simplify right side
    181,397x = 81,800,004,049
  5. Step 5: Solve for x
    x = 81,800,004,049/181,397
  6. Step 6: Final answer
    x = 450,944.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.