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Finding the Third Proportional to 178,774.44 and 265,069.10

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Solution

The third proportional to 178,774.44 and 265,069.10 is: 393,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,774.44 : 265,069.10 = 265,069.10 : x
  2. Step 2: Convert to fraction form
    178,774.44/265,069.10 = 265,069.10/x
  3. Step 3: Cross multiply
    178,774.44x = 265,069.10 × 265,069.10
  4. Step 4: Simplify right side
    178,774.44x = 70,261,627,050.02
  5. Step 5: Solve for x
    x = 70,261,627,050.02/178,774.44
  6. Step 6: Final answer
    x = 393,018.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.