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Finding the Third Proportional to 156,740 and 234,746

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Solution

The third proportional to 156,740 and 234,746 is: 351,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,740 : 234,746 = 234,746 : x
  2. Step 2: Convert to fraction form
    156,740/234,746 = 234,746/x
  3. Step 3: Cross multiply
    156,740x = 234,746 × 234,746
  4. Step 4: Simplify right side
    156,740x = 55,105,684,516
  5. Step 5: Solve for x
    x = 55,105,684,516/156,740
  6. Step 6: Final answer
    x = 351,573.85

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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.