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Finding the Third Proportional to 156,735 and 369,931

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Solution

The third proportional to 156,735 and 369,931 is: 873,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,735 : 369,931 = 369,931 : x
  2. Step 2: Convert to fraction form
    156,735/369,931 = 369,931/x
  3. Step 3: Cross multiply
    156,735x = 369,931 × 369,931
  4. Step 4: Simplify right side
    156,735x = 136,848,944,761
  5. Step 5: Solve for x
    x = 136,848,944,761/156,735
  6. Step 6: Final answer
    x = 873,123.07

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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.