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Finding the Third Proportional to 175,050 and 264,645

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Solution

The third proportional to 175,050 and 264,645 is: 400,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,050 : 264,645 = 264,645 : x
  2. Step 2: Convert to fraction form
    175,050/264,645 = 264,645/x
  3. Step 3: Cross multiply
    175,050x = 264,645 × 264,645
  4. Step 4: Simplify right side
    175,050x = 70,036,976,025
  5. Step 5: Solve for x
    x = 70,036,976,025/175,050
  6. Step 6: Final answer
    x = 400,096.98

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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.