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Finding the Third Proportional to 145.78 and 200.53

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Solution

The third proportional to 145.78 and 200.53 is: 275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.78 : 200.53 = 200.53 : x
  2. Step 2: Convert to fraction form
    145.78/200.53 = 200.53/x
  3. Step 3: Cross multiply
    145.78x = 200.53 × 200.53
  4. Step 4: Simplify right side
    145.78x = 40,212.78
  5. Step 5: Solve for x
    x = 40,212.78/145.78
  6. Step 6: Final answer
    x = 275.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.