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Finding the Third Proportional to 119,931 and 264,010

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Solution

The third proportional to 119,931 and 264,010 is: 581,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,931 : 264,010 = 264,010 : x
  2. Step 2: Convert to fraction form
    119,931/264,010 = 264,010/x
  3. Step 3: Cross multiply
    119,931x = 264,010 × 264,010
  4. Step 4: Simplify right side
    119,931x = 69,701,280,100
  5. Step 5: Solve for x
    x = 69,701,280,100/119,931
  6. Step 6: Final answer
    x = 581,178.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.