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Finding the Third Proportional to 164,120 and 353,348

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Solution

The third proportional to 164,120 and 353,348 is: 760,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,120 : 353,348 = 353,348 : x
  2. Step 2: Convert to fraction form
    164,120/353,348 = 353,348/x
  3. Step 3: Cross multiply
    164,120x = 353,348 × 353,348
  4. Step 4: Simplify right side
    164,120x = 124,854,809,104
  5. Step 5: Solve for x
    x = 124,854,809,104/164,120
  6. Step 6: Final answer
    x = 760,753.16

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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.