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Finding the Third Proportional to 153,654 and 335,328

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Solution

The third proportional to 153,654 and 335,328 is: 731,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,654 : 335,328 = 335,328 : x
  2. Step 2: Convert to fraction form
    153,654/335,328 = 335,328/x
  3. Step 3: Cross multiply
    153,654x = 335,328 × 335,328
  4. Step 4: Simplify right side
    153,654x = 112,444,867,584
  5. Step 5: Solve for x
    x = 112,444,867,584/153,654
  6. Step 6: Final answer
    x = 731,805.66

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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.