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Finding the Third Proportional to 188,480 and 403,108

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Solution

The third proportional to 188,480 and 403,108 is: 862,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,480 : 403,108 = 403,108 : x
  2. Step 2: Convert to fraction form
    188,480/403,108 = 403,108/x
  3. Step 3: Cross multiply
    188,480x = 403,108 × 403,108
  4. Step 4: Simplify right side
    188,480x = 162,496,059,664
  5. Step 5: Solve for x
    x = 162,496,059,664/188,480
  6. Step 6: Final answer
    x = 862,139.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.