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Finding the Third Proportional to 228,312 and 363,611.25

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Solution

The third proportional to 228,312 and 363,611.25 is: 579,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,312 : 363,611.25 = 363,611.25 : x
  2. Step 2: Convert to fraction form
    228,312/363,611.25 = 363,611.25/x
  3. Step 3: Cross multiply
    228,312x = 363,611.25 × 363,611.25
  4. Step 4: Simplify right side
    228,312x = 132,213,141,126.56
  5. Step 5: Solve for x
    x = 132,213,141,126.56/228,312
  6. Step 6: Final answer
    x = 579,089.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.