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Finding the Third Proportional to 142,607 and 309,849

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Solution

The third proportional to 142,607 and 309,849 is: 673,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,607 : 309,849 = 309,849 : x
  2. Step 2: Convert to fraction form
    142,607/309,849 = 309,849/x
  3. Step 3: Cross multiply
    142,607x = 309,849 × 309,849
  4. Step 4: Simplify right side
    142,607x = 96,006,402,801
  5. Step 5: Solve for x
    x = 96,006,402,801/142,607
  6. Step 6: Final answer
    x = 673,223.63

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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.