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Finding the Third Proportional to 181,346 and 254,922

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Solution

The third proportional to 181,346 and 254,922 is: 358,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,346 : 254,922 = 254,922 : x
  2. Step 2: Convert to fraction form
    181,346/254,922 = 254,922/x
  3. Step 3: Cross multiply
    181,346x = 254,922 × 254,922
  4. Step 4: Simplify right side
    181,346x = 64,985,226,084
  5. Step 5: Solve for x
    x = 64,985,226,084/181,346
  6. Step 6: Final answer
    x = 358,349.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.