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Finding the Third Proportional to 75,384.75 and 158,518.50

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Solution

The third proportional to 75,384.75 and 158,518.50 is: 333,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,384.75 : 158,518.50 = 158,518.50 : x
  2. Step 2: Convert to fraction form
    75,384.75/158,518.50 = 158,518.50/x
  3. Step 3: Cross multiply
    75,384.75x = 158,518.50 × 158,518.50
  4. Step 4: Simplify right side
    75,384.75x = 25,128,114,842.25
  5. Step 5: Solve for x
    x = 25,128,114,842.25/75,384.75
  6. Step 6: Final answer
    x = 333,331.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.