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Finding the Third Proportional to 189,506 and 260,355

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Solution

The third proportional to 189,506 and 260,355 is: 357,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,506 : 260,355 = 260,355 : x
  2. Step 2: Convert to fraction form
    189,506/260,355 = 260,355/x
  3. Step 3: Cross multiply
    189,506x = 260,355 × 260,355
  4. Step 4: Simplify right side
    189,506x = 67,784,726,025
  5. Step 5: Solve for x
    x = 67,784,726,025/189,506
  6. Step 6: Final answer
    x = 357,691.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.