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Finding the Third Proportional to 175,035 and 384,108

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Solution

The third proportional to 175,035 and 384,108 is: 842,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,035 : 384,108 = 384,108 : x
  2. Step 2: Convert to fraction form
    175,035/384,108 = 384,108/x
  3. Step 3: Cross multiply
    175,035x = 384,108 × 384,108
  4. Step 4: Simplify right side
    175,035x = 147,538,955,664
  5. Step 5: Solve for x
    x = 147,538,955,664/175,035
  6. Step 6: Final answer
    x = 842,911.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.