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Finding the Third Proportional to 200,254.50 and 309,222

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Solution

The third proportional to 200,254.50 and 309,222 is: 477,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,254.50 : 309,222 = 309,222 : x
  2. Step 2: Convert to fraction form
    200,254.50/309,222 = 309,222/x
  3. Step 3: Cross multiply
    200,254.50x = 309,222 × 309,222
  4. Step 4: Simplify right side
    200,254.50x = 95,618,245,284
  5. Step 5: Solve for x
    x = 95,618,245,284/200,254.50
  6. Step 6: Final answer
    x = 477,483.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.