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Finding the Third Proportional to 160,511.63 and 248,882.63

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Solution

The third proportional to 160,511.63 and 248,882.63 is: 385,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,511.63 : 248,882.63 = 248,882.63 : x
  2. Step 2: Convert to fraction form
    160,511.63/248,882.63 = 248,882.63/x
  3. Step 3: Cross multiply
    160,511.63x = 248,882.63 × 248,882.63
  4. Step 4: Simplify right side
    160,511.63x = 61,942,561,026.89
  5. Step 5: Solve for x
    x = 61,942,561,026.89/160,511.63
  6. Step 6: Final answer
    x = 385,907.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.