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Finding the Third Proportional to 233,097 and 500,178

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Solution

The third proportional to 233,097 and 500,178 is: 1,073,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,097 : 500,178 = 500,178 : x
  2. Step 2: Convert to fraction form
    233,097/500,178 = 500,178/x
  3. Step 3: Cross multiply
    233,097x = 500,178 × 500,178
  4. Step 4: Simplify right side
    233,097x = 250,178,031,684
  5. Step 5: Solve for x
    x = 250,178,031,684/233,097
  6. Step 6: Final answer
    x = 1,073,278.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.