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Finding the Third Proportional to 146,487 and 313,710

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Solution

The third proportional to 146,487 and 313,710 is: 671,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,487 : 313,710 = 313,710 : x
  2. Step 2: Convert to fraction form
    146,487/313,710 = 313,710/x
  3. Step 3: Cross multiply
    146,487x = 313,710 × 313,710
  4. Step 4: Simplify right side
    146,487x = 98,413,964,100
  5. Step 5: Solve for x
    x = 98,413,964,100/146,487
  6. Step 6: Final answer
    x = 671,827.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.