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Finding the Third Proportional to 127,496 and 346,848

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Solution

The third proportional to 127,496 and 346,848 is: 943,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,496 : 346,848 = 346,848 : x
  2. Step 2: Convert to fraction form
    127,496/346,848 = 346,848/x
  3. Step 3: Cross multiply
    127,496x = 346,848 × 346,848
  4. Step 4: Simplify right side
    127,496x = 120,303,535,104
  5. Step 5: Solve for x
    x = 120,303,535,104/127,496
  6. Step 6: Final answer
    x = 943,586.74

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.