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Finding the Third Proportional to 248,664 and 375,064

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Solution

The third proportional to 248,664 and 375,064 is: 565,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,664 : 375,064 = 375,064 : x
  2. Step 2: Convert to fraction form
    248,664/375,064 = 375,064/x
  3. Step 3: Cross multiply
    248,664x = 375,064 × 375,064
  4. Step 4: Simplify right side
    248,664x = 140,673,004,096
  5. Step 5: Solve for x
    x = 140,673,004,096/248,664
  6. Step 6: Final answer
    x = 565,715.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.