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Finding the Third Proportional to 146,931 and 318,294

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Solution

The third proportional to 146,931 and 318,294 is: 689,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,931 : 318,294 = 318,294 : x
  2. Step 2: Convert to fraction form
    146,931/318,294 = 318,294/x
  3. Step 3: Cross multiply
    146,931x = 318,294 × 318,294
  4. Step 4: Simplify right side
    146,931x = 101,311,070,436
  5. Step 5: Solve for x
    x = 101,311,070,436/146,931
  6. Step 6: Final answer
    x = 689,514.61

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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.