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Finding the Third Proportional to 181,284 and 254,835

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Solution

The third proportional to 181,284 and 254,835 is: 358,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,284 : 254,835 = 254,835 : x
  2. Step 2: Convert to fraction form
    181,284/254,835 = 254,835/x
  3. Step 3: Cross multiply
    181,284x = 254,835 × 254,835
  4. Step 4: Simplify right side
    181,284x = 64,940,877,225
  5. Step 5: Solve for x
    x = 64,940,877,225/181,284
  6. Step 6: Final answer
    x = 358,227.30

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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.