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Finding the Third Proportional to 116,468 and 183,774

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Solution

The third proportional to 116,468 and 183,774 is: 289,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,468 : 183,774 = 183,774 : x
  2. Step 2: Convert to fraction form
    116,468/183,774 = 183,774/x
  3. Step 3: Cross multiply
    116,468x = 183,774 × 183,774
  4. Step 4: Simplify right side
    116,468x = 33,772,883,076
  5. Step 5: Solve for x
    x = 33,772,883,076/116,468
  6. Step 6: Final answer
    x = 289,975.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.