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Finding the Third Proportional to 157,036 and 322,388

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Solution

The third proportional to 157,036 and 322,388 is: 661,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,036 : 322,388 = 322,388 : x
  2. Step 2: Convert to fraction form
    157,036/322,388 = 322,388/x
  3. Step 3: Cross multiply
    157,036x = 322,388 × 322,388
  4. Step 4: Simplify right side
    157,036x = 103,934,022,544
  5. Step 5: Solve for x
    x = 103,934,022,544/157,036
  6. Step 6: Final answer
    x = 661,848.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.