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Finding the Third Proportional to 158,197.50 and 341,256

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Solution

The third proportional to 158,197.50 and 341,256 is: 736,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,197.50 : 341,256 = 341,256 : x
  2. Step 2: Convert to fraction form
    158,197.50/341,256 = 341,256/x
  3. Step 3: Cross multiply
    158,197.50x = 341,256 × 341,256
  4. Step 4: Simplify right side
    158,197.50x = 116,455,657,536
  5. Step 5: Solve for x
    x = 116,455,657,536/158,197.50
  6. Step 6: Final answer
    x = 736,140.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.