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Finding the Third Proportional to 156,972 and 240,174

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Solution

The third proportional to 156,972 and 240,174 is: 367,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 240,174 = 240,174 : x
  2. Step 2: Convert to fraction form
    156,972/240,174 = 240,174/x
  3. Step 3: Cross multiply
    156,972x = 240,174 × 240,174
  4. Step 4: Simplify right side
    156,972x = 57,683,550,276
  5. Step 5: Solve for x
    x = 57,683,550,276/156,972
  6. Step 6: Final answer
    x = 367,476.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.