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Finding the Third Proportional to 160,930 and 353,516

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Solution

The third proportional to 160,930 and 353,516 is: 776,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,930 : 353,516 = 353,516 : x
  2. Step 2: Convert to fraction form
    160,930/353,516 = 353,516/x
  3. Step 3: Cross multiply
    160,930x = 353,516 × 353,516
  4. Step 4: Simplify right side
    160,930x = 124,973,562,256
  5. Step 5: Solve for x
    x = 124,973,562,256/160,930
  6. Step 6: Final answer
    x = 776,570.95

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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.