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Finding the Third Proportional to 160,487 and 248,365

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Solution

The third proportional to 160,487 and 248,365 is: 384,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,487 : 248,365 = 248,365 : x
  2. Step 2: Convert to fraction form
    160,487/248,365 = 248,365/x
  3. Step 3: Cross multiply
    160,487x = 248,365 × 248,365
  4. Step 4: Simplify right side
    160,487x = 61,685,173,225
  5. Step 5: Solve for x
    x = 61,685,173,225/160,487
  6. Step 6: Final answer
    x = 384,362.43

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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.