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Finding the Third Proportional to 156,016 and 347,076

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Solution

The third proportional to 156,016 and 347,076 is: 772,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,016 : 347,076 = 347,076 : x
  2. Step 2: Convert to fraction form
    156,016/347,076 = 347,076/x
  3. Step 3: Cross multiply
    156,016x = 347,076 × 347,076
  4. Step 4: Simplify right side
    156,016x = 120,461,749,776
  5. Step 5: Solve for x
    x = 120,461,749,776/156,016
  6. Step 6: Final answer
    x = 772,111.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.