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Finding the Third Proportional to 149,407 and 323,706

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Solution

The third proportional to 149,407 and 323,706 is: 701,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,407 : 323,706 = 323,706 : x
  2. Step 2: Convert to fraction form
    149,407/323,706 = 323,706/x
  3. Step 3: Cross multiply
    149,407x = 323,706 × 323,706
  4. Step 4: Simplify right side
    149,407x = 104,785,574,436
  5. Step 5: Solve for x
    x = 104,785,574,436/149,407
  6. Step 6: Final answer
    x = 701,343.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.