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Finding the Third Proportional to 245,071 and 374,816

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Solution

The third proportional to 245,071 and 374,816 is: 573,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,071 : 374,816 = 374,816 : x
  2. Step 2: Convert to fraction form
    245,071/374,816 = 374,816/x
  3. Step 3: Cross multiply
    245,071x = 374,816 × 374,816
  4. Step 4: Simplify right side
    245,071x = 140,487,033,856
  5. Step 5: Solve for x
    x = 140,487,033,856/245,071
  6. Step 6: Final answer
    x = 573,250.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.