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Finding the Third Proportional to 158,200 and 341,260

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Solution

The third proportional to 158,200 and 341,260 is: 736,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,200 : 341,260 = 341,260 : x
  2. Step 2: Convert to fraction form
    158,200/341,260 = 341,260/x
  3. Step 3: Cross multiply
    158,200x = 341,260 × 341,260
  4. Step 4: Simplify right side
    158,200x = 116,458,387,600
  5. Step 5: Solve for x
    x = 116,458,387,600/158,200
  6. Step 6: Final answer
    x = 736,146.57

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Why These Related Problems?

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