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Finding the Third Proportional to 181,919 and 424,911

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Solution

The third proportional to 181,919 and 424,911 is: 992,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,919 : 424,911 = 424,911 : x
  2. Step 2: Convert to fraction form
    181,919/424,911 = 424,911/x
  3. Step 3: Cross multiply
    181,919x = 424,911 × 424,911
  4. Step 4: Simplify right side
    181,919x = 180,549,357,921
  5. Step 5: Solve for x
    x = 180,549,357,921/181,919
  6. Step 6: Final answer
    x = 992,471.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.