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Finding the Third Proportional to 156,950 and 333,502

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Solution

The third proportional to 156,950 and 333,502 is: 708,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,950 : 333,502 = 333,502 : x
  2. Step 2: Convert to fraction form
    156,950/333,502 = 333,502/x
  3. Step 3: Cross multiply
    156,950x = 333,502 × 333,502
  4. Step 4: Simplify right side
    156,950x = 111,223,584,004
  5. Step 5: Solve for x
    x = 111,223,584,004/156,950
  6. Step 6: Final answer
    x = 708,656.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.