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Finding the Third Proportional to 201,264.75 and 272,372.63

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Solution

The third proportional to 201,264.75 and 272,372.63 is: 368,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,264.75 : 272,372.63 = 272,372.63 : x
  2. Step 2: Convert to fraction form
    201,264.75/272,372.63 = 272,372.63/x
  3. Step 3: Cross multiply
    201,264.75x = 272,372.63 × 272,372.63
  4. Step 4: Simplify right side
    201,264.75x = 74,186,846,849.39
  5. Step 5: Solve for x
    x = 74,186,846,849.39/201,264.75
  6. Step 6: Final answer
    x = 368,603.28

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