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Finding the Third Proportional to 160,716 and 345,618

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Solution

The third proportional to 160,716 and 345,618 is: 743,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,716 : 345,618 = 345,618 : x
  2. Step 2: Convert to fraction form
    160,716/345,618 = 345,618/x
  3. Step 3: Cross multiply
    160,716x = 345,618 × 345,618
  4. Step 4: Simplify right side
    160,716x = 119,451,801,924
  5. Step 5: Solve for x
    x = 119,451,801,924/160,716
  6. Step 6: Final answer
    x = 743,247.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.