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Finding the Third Proportional to 106,681 and 229,178

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Solution

The third proportional to 106,681 and 229,178 is: 492,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,681 : 229,178 = 229,178 : x
  2. Step 2: Convert to fraction form
    106,681/229,178 = 229,178/x
  3. Step 3: Cross multiply
    106,681x = 229,178 × 229,178
  4. Step 4: Simplify right side
    106,681x = 52,522,555,684
  5. Step 5: Solve for x
    x = 52,522,555,684/106,681
  6. Step 6: Final answer
    x = 492,332.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.