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Finding the Third Proportional to 233,710 and 350,168

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Solution

The third proportional to 233,710 and 350,168 is: 524,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,710 : 350,168 = 350,168 : x
  2. Step 2: Convert to fraction form
    233,710/350,168 = 350,168/x
  3. Step 3: Cross multiply
    233,710x = 350,168 × 350,168
  4. Step 4: Simplify right side
    233,710x = 122,617,628,224
  5. Step 5: Solve for x
    x = 122,617,628,224/233,710
  6. Step 6: Final answer
    x = 524,657.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.