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Finding the Third Proportional to 103,492 and 223,592

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Solution

The third proportional to 103,492 and 223,592 is: 483,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,492 : 223,592 = 223,592 : x
  2. Step 2: Convert to fraction form
    103,492/223,592 = 223,592/x
  3. Step 3: Cross multiply
    103,492x = 223,592 × 223,592
  4. Step 4: Simplify right side
    103,492x = 49,993,382,464
  5. Step 5: Solve for x
    x = 49,993,382,464/103,492
  6. Step 6: Final answer
    x = 483,065.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.