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Finding the Third Proportional to 223,880 and 310,294

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Solution

The third proportional to 223,880 and 310,294 is: 430,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,880 : 310,294 = 310,294 : x
  2. Step 2: Convert to fraction form
    223,880/310,294 = 310,294/x
  3. Step 3: Cross multiply
    223,880x = 310,294 × 310,294
  4. Step 4: Simplify right side
    223,880x = 96,282,366,436
  5. Step 5: Solve for x
    x = 96,282,366,436/223,880
  6. Step 6: Final answer
    x = 430,062.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.