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Finding the Third Proportional to 178,097.06 and 374,643.56

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Solution

The third proportional to 178,097.06 and 374,643.56 is: 788,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,097.06 : 374,643.56 = 374,643.56 : x
  2. Step 2: Convert to fraction form
    178,097.06/374,643.56 = 374,643.56/x
  3. Step 3: Cross multiply
    178,097.06x = 374,643.56 × 374,643.56
  4. Step 4: Simplify right side
    178,097.06x = 140,357,798,922.69
  5. Step 5: Solve for x
    x = 140,357,798,922.69/178,097.06
  6. Step 6: Final answer
    x = 788,097.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.