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Finding the Third Proportional to 164,464.50 and 358,629

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Solution

The third proportional to 164,464.50 and 358,629 is: 782,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,464.50 : 358,629 = 358,629 : x
  2. Step 2: Convert to fraction form
    164,464.50/358,629 = 358,629/x
  3. Step 3: Cross multiply
    164,464.50x = 358,629 × 358,629
  4. Step 4: Simplify right side
    164,464.50x = 128,614,759,641
  5. Step 5: Solve for x
    x = 128,614,759,641/164,464.50
  6. Step 6: Final answer
    x = 782,021.41

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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.