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Finding the Third Proportional to 156,690 and 235,382

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Solution

The third proportional to 156,690 and 235,382 is: 353,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,690 : 235,382 = 235,382 : x
  2. Step 2: Convert to fraction form
    156,690/235,382 = 235,382/x
  3. Step 3: Cross multiply
    156,690x = 235,382 × 235,382
  4. Step 4: Simplify right side
    156,690x = 55,404,685,924
  5. Step 5: Solve for x
    x = 55,404,685,924/156,690
  6. Step 6: Final answer
    x = 353,594.27

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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.