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Finding the Third Proportional to 156,981.75 and 250,619.63

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Solution

The third proportional to 156,981.75 and 250,619.63 is: 400,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,981.75 : 250,619.63 = 250,619.63 : x
  2. Step 2: Convert to fraction form
    156,981.75/250,619.63 = 250,619.63/x
  3. Step 3: Cross multiply
    156,981.75x = 250,619.63 × 250,619.63
  4. Step 4: Simplify right side
    156,981.75x = 62,810,196,435.14
  5. Step 5: Solve for x
    x = 62,810,196,435.14/156,981.75
  6. Step 6: Final answer
    x = 400,111.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.