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Finding the Third Proportional to 368,188 and 540,141

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Solution

The third proportional to 368,188 and 540,141 is: 792,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,188 : 540,141 = 540,141 : x
  2. Step 2: Convert to fraction form
    368,188/540,141 = 540,141/x
  3. Step 3: Cross multiply
    368,188x = 540,141 × 540,141
  4. Step 4: Simplify right side
    368,188x = 291,752,299,881
  5. Step 5: Solve for x
    x = 291,752,299,881/368,188
  6. Step 6: Final answer
    x = 792,400.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.