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Finding the Third Proportional to 160,653.38 and 349,889.63

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Solution

The third proportional to 160,653.38 and 349,889.63 is: 762,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,653.38 : 349,889.63 = 349,889.63 : x
  2. Step 2: Convert to fraction form
    160,653.38/349,889.63 = 349,889.63/x
  3. Step 3: Cross multiply
    160,653.38x = 349,889.63 × 349,889.63
  4. Step 4: Simplify right side
    160,653.38x = 122,422,749,682.64
  5. Step 5: Solve for x
    x = 122,422,749,682.64/160,653.38
  6. Step 6: Final answer
    x = 762,030.36

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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.