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Finding the Third Proportional to 114,430 and 239,323

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Solution

The third proportional to 114,430 and 239,323 is: 500,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,430 : 239,323 = 239,323 : x
  2. Step 2: Convert to fraction form
    114,430/239,323 = 239,323/x
  3. Step 3: Cross multiply
    114,430x = 239,323 × 239,323
  4. Step 4: Simplify right side
    114,430x = 57,275,498,329
  5. Step 5: Solve for x
    x = 57,275,498,329/114,430
  6. Step 6: Final answer
    x = 500,528.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.