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Finding the Third Proportional to 119,248 and 264,740

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Solution

The third proportional to 119,248 and 264,740 is: 587,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,248 : 264,740 = 264,740 : x
  2. Step 2: Convert to fraction form
    119,248/264,740 = 264,740/x
  3. Step 3: Cross multiply
    119,248x = 264,740 × 264,740
  4. Step 4: Simplify right side
    119,248x = 70,087,267,600
  5. Step 5: Solve for x
    x = 70,087,267,600/119,248
  6. Step 6: Final answer
    x = 587,743.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.