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Finding the Third Proportional to 156,616 and 333,752

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Solution

The third proportional to 156,616 and 333,752 is: 711,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,616 : 333,752 = 333,752 : x
  2. Step 2: Convert to fraction form
    156,616/333,752 = 333,752/x
  3. Step 3: Cross multiply
    156,616x = 333,752 × 333,752
  4. Step 4: Simplify right side
    156,616x = 111,390,397,504
  5. Step 5: Solve for x
    x = 111,390,397,504/156,616
  6. Step 6: Final answer
    x = 711,232.55

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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.