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Finding the Third Proportional to 164,428.50 and 246,643.50

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Solution

The third proportional to 164,428.50 and 246,643.50 is: 369,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,428.50 : 246,643.50 = 246,643.50 : x
  2. Step 2: Convert to fraction form
    164,428.50/246,643.50 = 246,643.50/x
  3. Step 3: Cross multiply
    164,428.50x = 246,643.50 × 246,643.50
  4. Step 4: Simplify right side
    164,428.50x = 60,833,016,092.25
  5. Step 5: Solve for x
    x = 60,833,016,092.25/164,428.50
  6. Step 6: Final answer
    x = 369,966.38

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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.