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Finding the Third Proportional to 147,297 and 323,268

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Solution

The third proportional to 147,297 and 323,268 is: 709,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,297 : 323,268 = 323,268 : x
  2. Step 2: Convert to fraction form
    147,297/323,268 = 323,268/x
  3. Step 3: Cross multiply
    147,297x = 323,268 × 323,268
  4. Step 4: Simplify right side
    147,297x = 104,502,199,824
  5. Step 5: Solve for x
    x = 104,502,199,824/147,297
  6. Step 6: Final answer
    x = 709,465.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.