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Finding the Third Proportional to 180,322 and 385,660

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Solution

The third proportional to 180,322 and 385,660 is: 824,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,322 : 385,660 = 385,660 : x
  2. Step 2: Convert to fraction form
    180,322/385,660 = 385,660/x
  3. Step 3: Cross multiply
    180,322x = 385,660 × 385,660
  4. Step 4: Simplify right side
    180,322x = 148,733,635,600
  5. Step 5: Solve for x
    x = 148,733,635,600/180,322
  6. Step 6: Final answer
    x = 824,822.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.