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Finding the Third Proportional to 201,120 and 320,133

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Solution

The third proportional to 201,120 and 320,133 is: 509,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,120 : 320,133 = 320,133 : x
  2. Step 2: Convert to fraction form
    201,120/320,133 = 320,133/x
  3. Step 3: Cross multiply
    201,120x = 320,133 × 320,133
  4. Step 4: Simplify right side
    201,120x = 102,485,137,689
  5. Step 5: Solve for x
    x = 102,485,137,689/201,120
  6. Step 6: Final answer
    x = 509,572.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.