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Finding the Third Proportional to 175,014 and 264,123

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Solution

The third proportional to 175,014 and 264,123 is: 398,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,014 : 264,123 = 264,123 : x
  2. Step 2: Convert to fraction form
    175,014/264,123 = 264,123/x
  3. Step 3: Cross multiply
    175,014x = 264,123 × 264,123
  4. Step 4: Simplify right side
    175,014x = 69,760,959,129
  5. Step 5: Solve for x
    x = 69,760,959,129/175,014
  6. Step 6: Final answer
    x = 398,602.16

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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.