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Finding the Third Proportional to 156,362 and 368,747

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Solution

The third proportional to 156,362 and 368,747 is: 869,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,362 : 368,747 = 368,747 : x
  2. Step 2: Convert to fraction form
    156,362/368,747 = 368,747/x
  3. Step 3: Cross multiply
    156,362x = 368,747 × 368,747
  4. Step 4: Simplify right side
    156,362x = 135,974,350,009
  5. Step 5: Solve for x
    x = 135,974,350,009/156,362
  6. Step 6: Final answer
    x = 869,612.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.