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Finding the Third Proportional to 147,024 and 318,939.75

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Solution

The third proportional to 147,024 and 318,939.75 is: 691,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,024 : 318,939.75 = 318,939.75 : x
  2. Step 2: Convert to fraction form
    147,024/318,939.75 = 318,939.75/x
  3. Step 3: Cross multiply
    147,024x = 318,939.75 × 318,939.75
  4. Step 4: Simplify right side
    147,024x = 101,722,564,130.06
  5. Step 5: Solve for x
    x = 101,722,564,130.06/147,024
  6. Step 6: Final answer
    x = 691,877.27

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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.