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Finding the Third Proportional to 228,907.50 and 348,692

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Solution

The third proportional to 228,907.50 and 348,692 is: 531,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,907.50 : 348,692 = 348,692 : x
  2. Step 2: Convert to fraction form
    228,907.50/348,692 = 348,692/x
  3. Step 3: Cross multiply
    228,907.50x = 348,692 × 348,692
  4. Step 4: Simplify right side
    228,907.50x = 121,586,110,864
  5. Step 5: Solve for x
    x = 121,586,110,864/228,907.50
  6. Step 6: Final answer
    x = 531,158.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.