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Finding the Third Proportional to 152,964 and 230,172

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Solution

The third proportional to 152,964 and 230,172 is: 346,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,964 : 230,172 = 230,172 : x
  2. Step 2: Convert to fraction form
    152,964/230,172 = 230,172/x
  3. Step 3: Cross multiply
    152,964x = 230,172 × 230,172
  4. Step 4: Simplify right side
    152,964x = 52,979,149,584
  5. Step 5: Solve for x
    x = 52,979,149,584/152,964
  6. Step 6: Final answer
    x = 346,350.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.