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Finding the Third Proportional to 233,714 and 350,174

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Solution

The third proportional to 233,714 and 350,174 is: 524,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,714 : 350,174 = 350,174 : x
  2. Step 2: Convert to fraction form
    233,714/350,174 = 350,174/x
  3. Step 3: Cross multiply
    233,714x = 350,174 × 350,174
  4. Step 4: Simplify right side
    233,714x = 122,621,830,276
  5. Step 5: Solve for x
    x = 122,621,830,276/233,714
  6. Step 6: Final answer
    x = 524,666.17

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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.