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Finding the Third Proportional to 146,537 and 313,810

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Solution

The third proportional to 146,537 and 313,810 is: 672,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,537 : 313,810 = 313,810 : x
  2. Step 2: Convert to fraction form
    146,537/313,810 = 313,810/x
  3. Step 3: Cross multiply
    146,537x = 313,810 × 313,810
  4. Step 4: Simplify right side
    146,537x = 98,476,716,100
  5. Step 5: Solve for x
    x = 98,476,716,100/146,537
  6. Step 6: Final answer
    x = 672,026.29

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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.