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Finding the Third Proportional to 228,099.75 and 333,482.25

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Solution

The third proportional to 228,099.75 and 333,482.25 is: 487,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,099.75 : 333,482.25 = 333,482.25 : x
  2. Step 2: Convert to fraction form
    228,099.75/333,482.25 = 333,482.25/x
  3. Step 3: Cross multiply
    228,099.75x = 333,482.25 × 333,482.25
  4. Step 4: Simplify right side
    228,099.75x = 111,210,411,065.06
  5. Step 5: Solve for x
    x = 111,210,411,065.06/228,099.75
  6. Step 6: Final answer
    x = 487,551.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.