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Finding the Third Proportional to 200,344.50 and 308,076.75

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Solution

The third proportional to 200,344.50 and 308,076.75 is: 473,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,344.50 : 308,076.75 = 308,076.75 : x
  2. Step 2: Convert to fraction form
    200,344.50/308,076.75 = 308,076.75/x
  3. Step 3: Cross multiply
    200,344.50x = 308,076.75 × 308,076.75
  4. Step 4: Simplify right side
    200,344.50x = 94,911,283,890.56
  5. Step 5: Solve for x
    x = 94,911,283,890.56/200,344.50
  6. Step 6: Final answer
    x = 473,740.40

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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.