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Finding the Third Proportional to 159,824 and 344,556

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Solution

The third proportional to 159,824 and 344,556 is: 742,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,824 : 344,556 = 344,556 : x
  2. Step 2: Convert to fraction form
    159,824/344,556 = 344,556/x
  3. Step 3: Cross multiply
    159,824x = 344,556 × 344,556
  4. Step 4: Simplify right side
    159,824x = 118,718,837,136
  5. Step 5: Solve for x
    x = 118,718,837,136/159,824
  6. Step 6: Final answer
    x = 742,809.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.