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Finding the Third Proportional to 189,452 and 418,429

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Solution

The third proportional to 189,452 and 418,429 is: 924,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,452 : 418,429 = 418,429 : x
  2. Step 2: Convert to fraction form
    189,452/418,429 = 418,429/x
  3. Step 3: Cross multiply
    189,452x = 418,429 × 418,429
  4. Step 4: Simplify right side
    189,452x = 175,082,828,041
  5. Step 5: Solve for x
    x = 175,082,828,041/189,452
  6. Step 6: Final answer
    x = 924,154.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.