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Finding the Third Proportional to 153,668 and 334,264

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Solution

The third proportional to 153,668 and 334,264 is: 727,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,668 : 334,264 = 334,264 : x
  2. Step 2: Convert to fraction form
    153,668/334,264 = 334,264/x
  3. Step 3: Cross multiply
    153,668x = 334,264 × 334,264
  4. Step 4: Simplify right side
    153,668x = 111,732,421,696
  5. Step 5: Solve for x
    x = 111,732,421,696/153,668
  6. Step 6: Final answer
    x = 727,102.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.