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Finding the Third Proportional to 164,557 and 246,401.50

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Solution

The third proportional to 164,557 and 246,401.50 is: 368,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,557 : 246,401.50 = 246,401.50 : x
  2. Step 2: Convert to fraction form
    164,557/246,401.50 = 246,401.50/x
  3. Step 3: Cross multiply
    164,557x = 246,401.50 × 246,401.50
  4. Step 4: Simplify right side
    164,557x = 60,713,699,202.25
  5. Step 5: Solve for x
    x = 60,713,699,202.25/164,557
  6. Step 6: Final answer
    x = 368,952.39

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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.