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Finding the Third Proportional to 144,558 and 348,237

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Solution

The third proportional to 144,558 and 348,237 is: 838,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,558 : 348,237 = 348,237 : x
  2. Step 2: Convert to fraction form
    144,558/348,237 = 348,237/x
  3. Step 3: Cross multiply
    144,558x = 348,237 × 348,237
  4. Step 4: Simplify right side
    144,558x = 121,269,008,169
  5. Step 5: Solve for x
    x = 121,269,008,169/144,558
  6. Step 6: Final answer
    x = 838,895.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.