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Finding the Third Proportional to 144,374 and 222,197

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Solution

The third proportional to 144,374 and 222,197 is: 341,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,374 : 222,197 = 222,197 : x
  2. Step 2: Convert to fraction form
    144,374/222,197 = 222,197/x
  3. Step 3: Cross multiply
    144,374x = 222,197 × 222,197
  4. Step 4: Simplify right side
    144,374x = 49,371,506,809
  5. Step 5: Solve for x
    x = 49,371,506,809/144,374
  6. Step 6: Final answer
    x = 341,969.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.