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Finding the Third Proportional to 189,701 and 285,803

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Solution

The third proportional to 189,701 and 285,803 is: 430,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,701 : 285,803 = 285,803 : x
  2. Step 2: Convert to fraction form
    189,701/285,803 = 285,803/x
  3. Step 3: Cross multiply
    189,701x = 285,803 × 285,803
  4. Step 4: Simplify right side
    189,701x = 81,683,354,809
  5. Step 5: Solve for x
    x = 81,683,354,809/189,701
  6. Step 6: Final answer
    x = 430,590.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.