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Finding the Third Proportional to 230,419.50 and 352,645.50

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Solution

The third proportional to 230,419.50 and 352,645.50 is: 539,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,419.50 : 352,645.50 = 352,645.50 : x
  2. Step 2: Convert to fraction form
    230,419.50/352,645.50 = 352,645.50/x
  3. Step 3: Cross multiply
    230,419.50x = 352,645.50 × 352,645.50
  4. Step 4: Simplify right side
    230,419.50x = 124,358,848,670.25
  5. Step 5: Solve for x
    x = 124,358,848,670.25/230,419.50
  6. Step 6: Final answer
    x = 539,706.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.