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Finding the Third Proportional to 237.13 and 370.06

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Solution

The third proportional to 237.13 and 370.06 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.13 : 370.06 = 370.06 : x
  2. Step 2: Convert to fraction form
    237.13/370.06 = 370.06/x
  3. Step 3: Cross multiply
    237.13x = 370.06 × 370.06
  4. Step 4: Simplify right side
    237.13x = 136,946.25
  5. Step 5: Solve for x
    x = 136,946.25/237.13
  6. Step 6: Final answer
    x = 577.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.