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Finding the Third Proportional to 171,725.06 and 380,948.06

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Solution

The third proportional to 171,725.06 and 380,948.06 is: 845,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,725.06 : 380,948.06 = 380,948.06 : x
  2. Step 2: Convert to fraction form
    171,725.06/380,948.06 = 380,948.06/x
  3. Step 3: Cross multiply
    171,725.06x = 380,948.06 × 380,948.06
  4. Step 4: Simplify right side
    171,725.06x = 145,121,426,322.50
  5. Step 5: Solve for x
    x = 145,121,426,322.50/171,725.06
  6. Step 6: Final answer
    x = 845,080.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.