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Finding the Third Proportional to 149,505 and 249,165

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Solution

The third proportional to 149,505 and 249,165 is: 415,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,505 : 249,165 = 249,165 : x
  2. Step 2: Convert to fraction form
    149,505/249,165 = 249,165/x
  3. Step 3: Cross multiply
    149,505x = 249,165 × 249,165
  4. Step 4: Simplify right side
    149,505x = 62,083,197,225
  5. Step 5: Solve for x
    x = 62,083,197,225/149,505
  6. Step 6: Final answer
    x = 415,258.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.