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Finding the Third Proportional to 153,190 and 334,828

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Solution

The third proportional to 153,190 and 334,828 is: 731,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190 : 334,828 = 334,828 : x
  2. Step 2: Convert to fraction form
    153,190/334,828 = 334,828/x
  3. Step 3: Cross multiply
    153,190x = 334,828 × 334,828
  4. Step 4: Simplify right side
    153,190x = 112,109,789,584
  5. Step 5: Solve for x
    x = 112,109,789,584/153,190
  6. Step 6: Final answer
    x = 731,834.91

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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.