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Finding the Third Proportional to 253,232 and 392,096

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Solution

The third proportional to 253,232 and 392,096 is: 607,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,232 : 392,096 = 392,096 : x
  2. Step 2: Convert to fraction form
    253,232/392,096 = 392,096/x
  3. Step 3: Cross multiply
    253,232x = 392,096 × 392,096
  4. Step 4: Simplify right side
    253,232x = 153,739,273,216
  5. Step 5: Solve for x
    x = 153,739,273,216/253,232
  6. Step 6: Final answer
    x = 607,108.40

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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.