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Finding the Third Proportional to 180,848.95 and 397,168.31

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Solution

The third proportional to 180,848.95 and 397,168.31 is: 872,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,848.95 : 397,168.31 = 397,168.31 : x
  2. Step 2: Convert to fraction form
    180,848.95/397,168.31 = 397,168.31/x
  3. Step 3: Cross multiply
    180,848.95x = 397,168.31 × 397,168.31
  4. Step 4: Simplify right side
    180,848.95x = 157,742,668,454.10
  5. Step 5: Solve for x
    x = 157,742,668,454.10/180,848.95
  6. Step 6: Final answer
    x = 872,234.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.