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Finding the Third Proportional to 193,851 and 423,706

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Solution

The third proportional to 193,851 and 423,706 is: 926,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,851 : 423,706 = 423,706 : x
  2. Step 2: Convert to fraction form
    193,851/423,706 = 423,706/x
  3. Step 3: Cross multiply
    193,851x = 423,706 × 423,706
  4. Step 4: Simplify right side
    193,851x = 179,526,774,436
  5. Step 5: Solve for x
    x = 179,526,774,436/193,851
  6. Step 6: Final answer
    x = 926,107.03

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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.