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Finding the Third Proportional to 176,322 and 268,612

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Solution

The third proportional to 176,322 and 268,612 is: 409,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,322 : 268,612 = 268,612 : x
  2. Step 2: Convert to fraction form
    176,322/268,612 = 268,612/x
  3. Step 3: Cross multiply
    176,322x = 268,612 × 268,612
  4. Step 4: Simplify right side
    176,322x = 72,152,406,544
  5. Step 5: Solve for x
    x = 72,152,406,544/176,322
  6. Step 6: Final answer
    x = 409,208.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.