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Finding the Third Proportional to 141 and 370.50

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Solution

The third proportional to 141 and 370.50 is: 973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141 : 370.50 = 370.50 : x
  2. Step 2: Convert to fraction form
    141/370.50 = 370.50/x
  3. Step 3: Cross multiply
    141x = 370.50 × 370.50
  4. Step 4: Simplify right side
    141x = 137,270.25
  5. Step 5: Solve for x
    x = 137,270.25/141
  6. Step 6: Final answer
    x = 973.55

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.