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Finding the Third Proportional to 156,740 and 369,942

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Solution

The third proportional to 156,740 and 369,942 is: 873,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,740 : 369,942 = 369,942 : x
  2. Step 2: Convert to fraction form
    156,740/369,942 = 369,942/x
  3. Step 3: Cross multiply
    156,740x = 369,942 × 369,942
  4. Step 4: Simplify right side
    156,740x = 136,857,083,364
  5. Step 5: Solve for x
    x = 136,857,083,364/156,740
  6. Step 6: Final answer
    x = 873,147.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.