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Finding the Third Proportional to 144,513 and 222,297

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Solution

The third proportional to 144,513 and 222,297 is: 341,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,513 : 222,297 = 222,297 : x
  2. Step 2: Convert to fraction form
    144,513/222,297 = 222,297/x
  3. Step 3: Cross multiply
    144,513x = 222,297 × 222,297
  4. Step 4: Simplify right side
    144,513x = 49,415,956,209
  5. Step 5: Solve for x
    x = 49,415,956,209/144,513
  6. Step 6: Final answer
    x = 341,948.17

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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.