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Finding the Third Proportional to 160,380 and 248,316

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Solution

The third proportional to 160,380 and 248,316 is: 384,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,380 : 248,316 = 248,316 : x
  2. Step 2: Convert to fraction form
    160,380/248,316 = 248,316/x
  3. Step 3: Cross multiply
    160,380x = 248,316 × 248,316
  4. Step 4: Simplify right side
    160,380x = 61,660,835,856
  5. Step 5: Solve for x
    x = 61,660,835,856/160,380
  6. Step 6: Final answer
    x = 384,467.11

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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.