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Finding the Third Proportional to 164,409.75 and 246,637.13

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Solution

The third proportional to 164,409.75 and 246,637.13 is: 369,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,409.75 : 246,637.13 = 246,637.13 : x
  2. Step 2: Convert to fraction form
    164,409.75/246,637.13 = 246,637.13/x
  3. Step 3: Cross multiply
    164,409.75x = 246,637.13 × 246,637.13
  4. Step 4: Simplify right side
    164,409.75x = 60,829,871,428.27
  5. Step 5: Solve for x
    x = 60,829,871,428.27/164,409.75
  6. Step 6: Final answer
    x = 369,989.44

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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.