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Finding the Third Proportional to 150,478.50 and 201,417

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Solution

The third proportional to 150,478.50 and 201,417 is: 269,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,478.50 : 201,417 = 201,417 : x
  2. Step 2: Convert to fraction form
    150,478.50/201,417 = 201,417/x
  3. Step 3: Cross multiply
    150,478.50x = 201,417 × 201,417
  4. Step 4: Simplify right side
    150,478.50x = 40,568,807,889
  5. Step 5: Solve for x
    x = 40,568,807,889/150,478.50
  6. Step 6: Final answer
    x = 269,598.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.