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Finding the Third Proportional to 146,252 and 297,688

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Solution

The third proportional to 146,252 and 297,688 is: 605,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,252 : 297,688 = 297,688 : x
  2. Step 2: Convert to fraction form
    146,252/297,688 = 297,688/x
  3. Step 3: Cross multiply
    146,252x = 297,688 × 297,688
  4. Step 4: Simplify right side
    146,252x = 88,618,145,344
  5. Step 5: Solve for x
    x = 88,618,145,344/146,252
  6. Step 6: Final answer
    x = 605,927.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.