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Finding the Third Proportional to 170,410 and 369,030

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Solution

The third proportional to 170,410 and 369,030 is: 799,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,410 : 369,030 = 369,030 : x
  2. Step 2: Convert to fraction form
    170,410/369,030 = 369,030/x
  3. Step 3: Cross multiply
    170,410x = 369,030 × 369,030
  4. Step 4: Simplify right side
    170,410x = 136,183,140,900
  5. Step 5: Solve for x
    x = 136,183,140,900/170,410
  6. Step 6: Final answer
    x = 799,149.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.