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Finding the Third Proportional to 199,056 and 435,360

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Solution

The third proportional to 199,056 and 435,360 is: 952,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,056 : 435,360 = 435,360 : x
  2. Step 2: Convert to fraction form
    199,056/435,360 = 435,360/x
  3. Step 3: Cross multiply
    199,056x = 435,360 × 435,360
  4. Step 4: Simplify right side
    199,056x = 189,538,329,600
  5. Step 5: Solve for x
    x = 189,538,329,600/199,056
  6. Step 6: Final answer
    x = 952,185.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.