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Finding the Third Proportional to 164,295 and 353,133

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Solution

The third proportional to 164,295 and 353,133 is: 759,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,295 : 353,133 = 353,133 : x
  2. Step 2: Convert to fraction form
    164,295/353,133 = 353,133/x
  3. Step 3: Cross multiply
    164,295x = 353,133 × 353,133
  4. Step 4: Simplify right side
    164,295x = 124,702,915,689
  5. Step 5: Solve for x
    x = 124,702,915,689/164,295
  6. Step 6: Final answer
    x = 759,018.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.