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Finding the Third Proportional to 189,533 and 295,703

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Solution

The third proportional to 189,533 and 295,703 is: 461,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,533 : 295,703 = 295,703 : x
  2. Step 2: Convert to fraction form
    189,533/295,703 = 295,703/x
  3. Step 3: Cross multiply
    189,533x = 295,703 × 295,703
  4. Step 4: Simplify right side
    189,533x = 87,440,264,209
  5. Step 5: Solve for x
    x = 87,440,264,209/189,533
  6. Step 6: Final answer
    x = 461,345.86

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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.