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Finding the Third Proportional to 160,726.78 and 353,182.78

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Solution

The third proportional to 160,726.78 and 353,182.78 is: 776,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,726.78 : 353,182.78 = 353,182.78 : x
  2. Step 2: Convert to fraction form
    160,726.78/353,182.78 = 353,182.78/x
  3. Step 3: Cross multiply
    160,726.78x = 353,182.78 × 353,182.78
  4. Step 4: Simplify right side
    160,726.78x = 124,738,076,971.49
  5. Step 5: Solve for x
    x = 124,738,076,971.49/160,726.78
  6. Step 6: Final answer
    x = 776,087.69

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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.