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Finding the Third Proportional to 156,515.44 and 233,851.69

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Solution

The third proportional to 156,515.44 and 233,851.69 is: 349,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,515.44 : 233,851.69 = 233,851.69 : x
  2. Step 2: Convert to fraction form
    156,515.44/233,851.69 = 233,851.69/x
  3. Step 3: Cross multiply
    156,515.44x = 233,851.69 × 233,851.69
  4. Step 4: Simplify right side
    156,515.44x = 54,686,611,746.60
  5. Step 5: Solve for x
    x = 54,686,611,746.60/156,515.44
  6. Step 6: Final answer
    x = 349,400.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.