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Finding the Third Proportional to 164,552 and 246,394

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Solution

The third proportional to 164,552 and 246,394 is: 368,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,552 : 246,394 = 246,394 : x
  2. Step 2: Convert to fraction form
    164,552/246,394 = 246,394/x
  3. Step 3: Cross multiply
    164,552x = 246,394 × 246,394
  4. Step 4: Simplify right side
    164,552x = 60,710,003,236
  5. Step 5: Solve for x
    x = 60,710,003,236/164,552
  6. Step 6: Final answer
    x = 368,941.14

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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.