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Finding the Third Proportional to 145,714 and 231,699

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Solution

The third proportional to 145,714 and 231,699 is: 368,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,714 : 231,699 = 231,699 : x
  2. Step 2: Convert to fraction form
    145,714/231,699 = 231,699/x
  3. Step 3: Cross multiply
    145,714x = 231,699 × 231,699
  4. Step 4: Simplify right side
    145,714x = 53,684,426,601
  5. Step 5: Solve for x
    x = 53,684,426,601/145,714
  6. Step 6: Final answer
    x = 368,423.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.