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Finding the Third Proportional to 270,862.88 and 362,370.38

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Solution

The third proportional to 270,862.88 and 362,370.38 is: 484,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,862.88 : 362,370.38 = 362,370.38 : x
  2. Step 2: Convert to fraction form
    270,862.88/362,370.38 = 362,370.38/x
  3. Step 3: Cross multiply
    270,862.88x = 362,370.38 × 362,370.38
  4. Step 4: Simplify right side
    270,862.88x = 131,312,288,677.64
  5. Step 5: Solve for x
    x = 131,312,288,677.64/270,862.88
  6. Step 6: Final answer
    x = 484,792.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.