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Finding the Third Proportional to 164,269.69 and 356,423.63

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Solution

The third proportional to 164,269.69 and 356,423.63 is: 773,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,269.69 : 356,423.63 = 356,423.63 : x
  2. Step 2: Convert to fraction form
    164,269.69/356,423.63 = 356,423.63/x
  3. Step 3: Cross multiply
    164,269.69x = 356,423.63 × 356,423.63
  4. Step 4: Simplify right side
    164,269.69x = 127,037,800,458.14
  5. Step 5: Solve for x
    x = 127,037,800,458.14/164,269.69
  6. Step 6: Final answer
    x = 773,349.01

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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.