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Finding the Third Proportional to 160,828 and 343,033

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Solution

The third proportional to 160,828 and 343,033 is: 731,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,828 : 343,033 = 343,033 : x
  2. Step 2: Convert to fraction form
    160,828/343,033 = 343,033/x
  3. Step 3: Cross multiply
    160,828x = 343,033 × 343,033
  4. Step 4: Simplify right side
    160,828x = 117,671,639,089
  5. Step 5: Solve for x
    x = 117,671,639,089/160,828
  6. Step 6: Final answer
    x = 731,661.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.