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Finding the Third Proportional to 233,894 and 364,515

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Solution

The third proportional to 233,894 and 364,515 is: 568,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894 : 364,515 = 364,515 : x
  2. Step 2: Convert to fraction form
    233,894/364,515 = 364,515/x
  3. Step 3: Cross multiply
    233,894x = 364,515 × 364,515
  4. Step 4: Simplify right side
    233,894x = 132,871,185,225
  5. Step 5: Solve for x
    x = 132,871,185,225/233,894
  6. Step 6: Final answer
    x = 568,082.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.