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Finding the Third Proportional to 156,080 and 233,692

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Solution

The third proportional to 156,080 and 233,692 is: 349,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,080 : 233,692 = 233,692 : x
  2. Step 2: Convert to fraction form
    156,080/233,692 = 233,692/x
  3. Step 3: Cross multiply
    156,080x = 233,692 × 233,692
  4. Step 4: Simplify right side
    156,080x = 54,611,950,864
  5. Step 5: Solve for x
    x = 54,611,950,864/156,080
  6. Step 6: Final answer
    x = 349,897.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.