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Finding the Third Proportional to 160,250.63 and 341,953.88

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Solution

The third proportional to 160,250.63 and 341,953.88 is: 729,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,250.63 : 341,953.88 = 341,953.88 : x
  2. Step 2: Convert to fraction form
    160,250.63/341,953.88 = 341,953.88/x
  3. Step 3: Cross multiply
    160,250.63x = 341,953.88 × 341,953.88
  4. Step 4: Simplify right side
    160,250.63x = 116,932,452,627.52
  5. Step 5: Solve for x
    x = 116,932,452,627.52/160,250.63
  6. Step 6: Final answer
    x = 729,684.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.