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Finding the Third Proportional to 201,420.56 and 272,585.25

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Solution

The third proportional to 201,420.56 and 272,585.25 is: 368,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420.56 : 272,585.25 = 272,585.25 : x
  2. Step 2: Convert to fraction form
    201,420.56/272,585.25 = 272,585.25/x
  3. Step 3: Cross multiply
    201,420.56x = 272,585.25 × 272,585.25
  4. Step 4: Simplify right side
    201,420.56x = 74,302,718,517.56
  5. Step 5: Solve for x
    x = 74,302,718,517.56/201,420.56
  6. Step 6: Final answer
    x = 368,893.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.