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Finding the Third Proportional to 160,770 and 353,070

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Solution

The third proportional to 160,770 and 353,070 is: 775,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,770 : 353,070 = 353,070 : x
  2. Step 2: Convert to fraction form
    160,770/353,070 = 353,070/x
  3. Step 3: Cross multiply
    160,770x = 353,070 × 353,070
  4. Step 4: Simplify right side
    160,770x = 124,658,424,900
  5. Step 5: Solve for x
    x = 124,658,424,900/160,770
  6. Step 6: Final answer
    x = 775,383.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.