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Finding the Third Proportional to 147,024 and 318,942

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Solution

The third proportional to 147,024 and 318,942 is: 691,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,024 : 318,942 = 318,942 : x
  2. Step 2: Convert to fraction form
    147,024/318,942 = 318,942/x
  3. Step 3: Cross multiply
    147,024x = 318,942 × 318,942
  4. Step 4: Simplify right side
    147,024x = 101,723,999,364
  5. Step 5: Solve for x
    x = 101,723,999,364/147,024
  6. Step 6: Final answer
    x = 691,887.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.