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Finding the Third Proportional to 150,102 and 230,145

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Solution

The third proportional to 150,102 and 230,145 is: 352,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,102 : 230,145 = 230,145 : x
  2. Step 2: Convert to fraction form
    150,102/230,145 = 230,145/x
  3. Step 3: Cross multiply
    150,102x = 230,145 × 230,145
  4. Step 4: Simplify right side
    150,102x = 52,966,721,025
  5. Step 5: Solve for x
    x = 52,966,721,025/150,102
  6. Step 6: Final answer
    x = 352,871.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.