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Finding the Third Proportional to 156,636 and 333,792

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Solution

The third proportional to 156,636 and 333,792 is: 711,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,636 : 333,792 = 333,792 : x
  2. Step 2: Convert to fraction form
    156,636/333,792 = 333,792/x
  3. Step 3: Cross multiply
    156,636x = 333,792 × 333,792
  4. Step 4: Simplify right side
    156,636x = 111,417,099,264
  5. Step 5: Solve for x
    x = 111,417,099,264/156,636
  6. Step 6: Final answer
    x = 711,312.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.