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Finding the Third Proportional to 331,173 and 525,261

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Solution

The third proportional to 331,173 and 525,261 is: 833,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,173 : 525,261 = 525,261 : x
  2. Step 2: Convert to fraction form
    331,173/525,261 = 525,261/x
  3. Step 3: Cross multiply
    331,173x = 525,261 × 525,261
  4. Step 4: Simplify right side
    331,173x = 275,899,118,121
  5. Step 5: Solve for x
    x = 275,899,118,121/331,173
  6. Step 6: Final answer
    x = 833,096.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.