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Finding the Third Proportional to 146,948 and 318,312

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Solution

The third proportional to 146,948 and 318,312 is: 689,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,948 : 318,312 = 318,312 : x
  2. Step 2: Convert to fraction form
    146,948/318,312 = 318,312/x
  3. Step 3: Cross multiply
    146,948x = 318,312 × 318,312
  4. Step 4: Simplify right side
    146,948x = 101,322,529,344
  5. Step 5: Solve for x
    x = 101,322,529,344/146,948
  6. Step 6: Final answer
    x = 689,512.82

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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.