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Finding the Third Proportional to 188,484 and 403,116

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Solution

The third proportional to 188,484 and 403,116 is: 862,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,484 : 403,116 = 403,116 : x
  2. Step 2: Convert to fraction form
    188,484/403,116 = 403,116/x
  3. Step 3: Cross multiply
    188,484x = 403,116 × 403,116
  4. Step 4: Simplify right side
    188,484x = 162,502,509,456
  5. Step 5: Solve for x
    x = 162,502,509,456/188,484
  6. Step 6: Final answer
    x = 862,155.46

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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.