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Finding the Third Proportional to 145,714.50 and 231,699.75

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Solution

The third proportional to 145,714.50 and 231,699.75 is: 368,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,714.50 : 231,699.75 = 231,699.75 : x
  2. Step 2: Convert to fraction form
    145,714.50/231,699.75 = 231,699.75/x
  3. Step 3: Cross multiply
    145,714.50x = 231,699.75 × 231,699.75
  4. Step 4: Simplify right side
    145,714.50x = 53,684,774,150.06
  5. Step 5: Solve for x
    x = 53,684,774,150.06/145,714.50
  6. Step 6: Final answer
    x = 368,424.38

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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.