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Finding the Third Proportional to 156,690 and 234,445

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Solution

The third proportional to 156,690 and 234,445 is: 350,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,690 : 234,445 = 234,445 : x
  2. Step 2: Convert to fraction form
    156,690/234,445 = 234,445/x
  3. Step 3: Cross multiply
    156,690x = 234,445 × 234,445
  4. Step 4: Simplify right side
    156,690x = 54,964,458,025
  5. Step 5: Solve for x
    x = 54,964,458,025/156,690
  6. Step 6: Final answer
    x = 350,784.72

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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.