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Finding the Third Proportional to 147,566 and 322,834

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Solution

The third proportional to 147,566 and 322,834 is: 706,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,566 : 322,834 = 322,834 : x
  2. Step 2: Convert to fraction form
    147,566/322,834 = 322,834/x
  3. Step 3: Cross multiply
    147,566x = 322,834 × 322,834
  4. Step 4: Simplify right side
    147,566x = 104,221,791,556
  5. Step 5: Solve for x
    x = 104,221,791,556/147,566
  6. Step 6: Final answer
    x = 706,272.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.