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Finding the Third Proportional to 103,485 and 223,581

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Solution

The third proportional to 103,485 and 223,581 is: 483,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,485 : 223,581 = 223,581 : x
  2. Step 2: Convert to fraction form
    103,485/223,581 = 223,581/x
  3. Step 3: Cross multiply
    103,485x = 223,581 × 223,581
  4. Step 4: Simplify right side
    103,485x = 49,988,463,561
  5. Step 5: Solve for x
    x = 49,988,463,561/103,485
  6. Step 6: Final answer
    x = 483,050.33

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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.