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Finding the Third Proportional to 106,434 and 233,604

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Solution

The third proportional to 106,434 and 233,604 is: 512,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434 : 233,604 = 233,604 : x
  2. Step 2: Convert to fraction form
    106,434/233,604 = 233,604/x
  3. Step 3: Cross multiply
    106,434x = 233,604 × 233,604
  4. Step 4: Simplify right side
    106,434x = 54,570,828,816
  5. Step 5: Solve for x
    x = 54,570,828,816/106,434
  6. Step 6: Final answer
    x = 512,719.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.