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Finding the Third Proportional to 134,018 and 364,565

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Solution

The third proportional to 134,018 and 364,565 is: 991,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,018 : 364,565 = 364,565 : x
  2. Step 2: Convert to fraction form
    134,018/364,565 = 364,565/x
  3. Step 3: Cross multiply
    134,018x = 364,565 × 364,565
  4. Step 4: Simplify right side
    134,018x = 132,907,639,225
  5. Step 5: Solve for x
    x = 132,907,639,225/134,018
  6. Step 6: Final answer
    x = 991,714.84

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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.