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Finding the Third Proportional to 160,596 and 340,470

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Solution

The third proportional to 160,596 and 340,470 is: 721,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,596 : 340,470 = 340,470 : x
  2. Step 2: Convert to fraction form
    160,596/340,470 = 340,470/x
  3. Step 3: Cross multiply
    160,596x = 340,470 × 340,470
  4. Step 4: Simplify right side
    160,596x = 115,919,820,900
  5. Step 5: Solve for x
    x = 115,919,820,900/160,596
  6. Step 6: Final answer
    x = 721,810.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.