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Finding the Third Proportional to 228,127.50 and 333,523.50

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Solution

The third proportional to 228,127.50 and 333,523.50 is: 487,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,127.50 : 333,523.50 = 333,523.50 : x
  2. Step 2: Convert to fraction form
    228,127.50/333,523.50 = 333,523.50/x
  3. Step 3: Cross multiply
    228,127.50x = 333,523.50 × 333,523.50
  4. Step 4: Simplify right side
    228,127.50x = 111,237,925,052.25
  5. Step 5: Solve for x
    x = 111,237,925,052.25/228,127.50
  6. Step 6: Final answer
    x = 487,612.96

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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.