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Finding the Third Proportional to 234,099 and 352,804.50

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Solution

The third proportional to 234,099 and 352,804.50 is: 531,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,099 : 352,804.50 = 352,804.50 : x
  2. Step 2: Convert to fraction form
    234,099/352,804.50 = 352,804.50/x
  3. Step 3: Cross multiply
    234,099x = 352,804.50 × 352,804.50
  4. Step 4: Simplify right side
    234,099x = 124,471,015,220.25
  5. Step 5: Solve for x
    x = 124,471,015,220.25/234,099
  6. Step 6: Final answer
    x = 531,702.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.