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Finding the Third Proportional to 153,294 and 223,989

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Solution

The third proportional to 153,294 and 223,989 is: 327,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,294 : 223,989 = 223,989 : x
  2. Step 2: Convert to fraction form
    153,294/223,989 = 223,989/x
  3. Step 3: Cross multiply
    153,294x = 223,989 × 223,989
  4. Step 4: Simplify right side
    153,294x = 50,171,072,121
  5. Step 5: Solve for x
    x = 50,171,072,121/153,294
  6. Step 6: Final answer
    x = 327,286.60

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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.