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Finding the Third Proportional to 182,928 and 256,248

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Solution

The third proportional to 182,928 and 256,248 is: 358,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,928 : 256,248 = 256,248 : x
  2. Step 2: Convert to fraction form
    182,928/256,248 = 256,248/x
  3. Step 3: Cross multiply
    182,928x = 256,248 × 256,248
  4. Step 4: Simplify right side
    182,928x = 65,663,037,504
  5. Step 5: Solve for x
    x = 65,663,037,504/182,928
  6. Step 6: Final answer
    x = 358,955.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.