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Finding the Third Proportional to 181,320 and 254,886

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Solution

The third proportional to 181,320 and 254,886 is: 358,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,320 : 254,886 = 254,886 : x
  2. Step 2: Convert to fraction form
    181,320/254,886 = 254,886/x
  3. Step 3: Cross multiply
    181,320x = 254,886 × 254,886
  4. Step 4: Simplify right side
    181,320x = 64,966,872,996
  5. Step 5: Solve for x
    x = 64,966,872,996/181,320
  6. Step 6: Final answer
    x = 358,299.54

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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.