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Finding the Third Proportional to 188,848.13 and 407,856.94

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Solution

The third proportional to 188,848.13 and 407,856.94 is: 880,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,848.13 : 407,856.94 = 407,856.94 : x
  2. Step 2: Convert to fraction form
    188,848.13/407,856.94 = 407,856.94/x
  3. Step 3: Cross multiply
    188,848.13x = 407,856.94 × 407,856.94
  4. Step 4: Simplify right side
    188,848.13x = 166,347,281,466.88
  5. Step 5: Solve for x
    x = 166,347,281,466.88/188,848.13
  6. Step 6: Final answer
    x = 880,852.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.