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Finding the Third Proportional to 163,460 and 344,668

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Solution

The third proportional to 163,460 and 344,668 is: 726,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,460 : 344,668 = 344,668 : x
  2. Step 2: Convert to fraction form
    163,460/344,668 = 344,668/x
  3. Step 3: Cross multiply
    163,460x = 344,668 × 344,668
  4. Step 4: Simplify right side
    163,460x = 118,796,030,224
  5. Step 5: Solve for x
    x = 118,796,030,224/163,460
  6. Step 6: Final answer
    x = 726,759.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.