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Finding the Third Proportional to 183,506 and 268,178

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Solution

The third proportional to 183,506 and 268,178 is: 391,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,506 : 268,178 = 268,178 : x
  2. Step 2: Convert to fraction form
    183,506/268,178 = 268,178/x
  3. Step 3: Cross multiply
    183,506x = 268,178 × 268,178
  4. Step 4: Simplify right side
    183,506x = 71,919,439,684
  5. Step 5: Solve for x
    x = 71,919,439,684/183,506
  6. Step 6: Final answer
    x = 391,918.74

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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.