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Finding the Third Proportional to 156,851 and 333,931

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Solution

The third proportional to 156,851 and 333,931 is: 710,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,851 : 333,931 = 333,931 : x
  2. Step 2: Convert to fraction form
    156,851/333,931 = 333,931/x
  3. Step 3: Cross multiply
    156,851x = 333,931 × 333,931
  4. Step 4: Simplify right side
    156,851x = 111,509,912,761
  5. Step 5: Solve for x
    x = 111,509,912,761/156,851
  6. Step 6: Final answer
    x = 710,928.92

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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.