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Finding the Third Proportional to 103,487 and 223,584

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Solution

The third proportional to 103,487 and 223,584 is: 483,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,487 : 223,584 = 223,584 : x
  2. Step 2: Convert to fraction form
    103,487/223,584 = 223,584/x
  3. Step 3: Cross multiply
    103,487x = 223,584 × 223,584
  4. Step 4: Simplify right side
    103,487x = 49,989,805,056
  5. Step 5: Solve for x
    x = 49,989,805,056/103,487
  6. Step 6: Final answer
    x = 483,053.96

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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.