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Finding the Third Proportional to 189,000 and 264,582

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Solution

The third proportional to 189,000 and 264,582 is: 370,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,000 : 264,582 = 264,582 : x
  2. Step 2: Convert to fraction form
    189,000/264,582 = 264,582/x
  3. Step 3: Cross multiply
    189,000x = 264,582 × 264,582
  4. Step 4: Simplify right side
    189,000x = 70,003,634,724
  5. Step 5: Solve for x
    x = 70,003,634,724/189,000
  6. Step 6: Final answer
    x = 370,389.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.