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Finding the Third Proportional to 150,715 and 325,090

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Solution

The third proportional to 150,715 and 325,090 is: 701,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,715 : 325,090 = 325,090 : x
  2. Step 2: Convert to fraction form
    150,715/325,090 = 325,090/x
  3. Step 3: Cross multiply
    150,715x = 325,090 × 325,090
  4. Step 4: Simplify right side
    150,715x = 105,683,508,100
  5. Step 5: Solve for x
    x = 105,683,508,100/150,715
  6. Step 6: Final answer
    x = 701,214.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.