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Finding the Third Proportional to 164,470 and 246,035

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Solution

The third proportional to 164,470 and 246,035 is: 368,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,470 : 246,035 = 246,035 : x
  2. Step 2: Convert to fraction form
    164,470/246,035 = 246,035/x
  3. Step 3: Cross multiply
    164,470x = 246,035 × 246,035
  4. Step 4: Simplify right side
    164,470x = 60,533,221,225
  5. Step 5: Solve for x
    x = 60,533,221,225/164,470
  6. Step 6: Final answer
    x = 368,050.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.