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Finding the Third Proportional to 264,040 and 351,960

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Solution

The third proportional to 264,040 and 351,960 is: 469,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,040 : 351,960 = 351,960 : x
  2. Step 2: Convert to fraction form
    264,040/351,960 = 351,960/x
  3. Step 3: Cross multiply
    264,040x = 351,960 × 351,960
  4. Step 4: Simplify right side
    264,040x = 123,875,841,600
  5. Step 5: Solve for x
    x = 123,875,841,600/264,040
  6. Step 6: Final answer
    x = 469,155.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.