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Finding the Third Proportional to 164,028 and 358,692

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Solution

The third proportional to 164,028 and 358,692 is: 784,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,028 : 358,692 = 358,692 : x
  2. Step 2: Convert to fraction form
    164,028/358,692 = 358,692/x
  3. Step 3: Cross multiply
    164,028x = 358,692 × 358,692
  4. Step 4: Simplify right side
    164,028x = 128,659,950,864
  5. Step 5: Solve for x
    x = 128,659,950,864/164,028
  6. Step 6: Final answer
    x = 784,377.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.