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Finding the Third Proportional to 102,381.75 and 223,346.25

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Solution

The third proportional to 102,381.75 and 223,346.25 is: 487,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381.75 : 223,346.25 = 223,346.25 : x
  2. Step 2: Convert to fraction form
    102,381.75/223,346.25 = 223,346.25/x
  3. Step 3: Cross multiply
    102,381.75x = 223,346.25 × 223,346.25
  4. Step 4: Simplify right side
    102,381.75x = 49,883,547,389.06
  5. Step 5: Solve for x
    x = 49,883,547,389.06/102,381.75
  6. Step 6: Final answer
    x = 487,230.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.