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Finding the Third Proportional to 160,848.50 and 353,422

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Solution

The third proportional to 160,848.50 and 353,422 is: 776,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,848.50 : 353,422 = 353,422 : x
  2. Step 2: Convert to fraction form
    160,848.50/353,422 = 353,422/x
  3. Step 3: Cross multiply
    160,848.50x = 353,422 × 353,422
  4. Step 4: Simplify right side
    160,848.50x = 124,907,110,084
  5. Step 5: Solve for x
    x = 124,907,110,084/160,848.50
  6. Step 6: Final answer
    x = 776,551.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.