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Finding the Third Proportional to 189,528 and 295,695

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Solution

The third proportional to 189,528 and 295,695 is: 461,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,528 : 295,695 = 295,695 : x
  2. Step 2: Convert to fraction form
    189,528/295,695 = 295,695/x
  3. Step 3: Cross multiply
    189,528x = 295,695 × 295,695
  4. Step 4: Simplify right side
    189,528x = 87,435,533,025
  5. Step 5: Solve for x
    x = 87,435,533,025/189,528
  6. Step 6: Final answer
    x = 461,333.06

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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.