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Finding the Third Proportional to 164,499.75 and 358,746.75

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Solution

The third proportional to 164,499.75 and 358,746.75 is: 782,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,499.75 : 358,746.75 = 358,746.75 : x
  2. Step 2: Convert to fraction form
    164,499.75/358,746.75 = 358,746.75/x
  3. Step 3: Cross multiply
    164,499.75x = 358,746.75 × 358,746.75
  4. Step 4: Simplify right side
    164,499.75x = 128,699,230,635.56
  5. Step 5: Solve for x
    x = 128,699,230,635.56/164,499.75
  6. Step 6: Final answer
    x = 782,367.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.