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Finding the Third Proportional to 177,357.50 and 260,852

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Solution

The third proportional to 177,357.50 and 260,852 is: 383,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,357.50 : 260,852 = 260,852 : x
  2. Step 2: Convert to fraction form
    177,357.50/260,852 = 260,852/x
  3. Step 3: Cross multiply
    177,357.50x = 260,852 × 260,852
  4. Step 4: Simplify right side
    177,357.50x = 68,043,765,904
  5. Step 5: Solve for x
    x = 68,043,765,904/177,357.50
  6. Step 6: Final answer
    x = 383,653.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.