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Finding the Third Proportional to 237,072 and 360,216

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Solution

The third proportional to 237,072 and 360,216 is: 547,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,072 : 360,216 = 360,216 : x
  2. Step 2: Convert to fraction form
    237,072/360,216 = 360,216/x
  3. Step 3: Cross multiply
    237,072x = 360,216 × 360,216
  4. Step 4: Simplify right side
    237,072x = 129,755,566,656
  5. Step 5: Solve for x
    x = 129,755,566,656/237,072
  6. Step 6: Final answer
    x = 547,325.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.