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Finding the Third Proportional to 256,176 and 562,248

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Solution

The third proportional to 256,176 and 562,248 is: 1,234,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,176 : 562,248 = 562,248 : x
  2. Step 2: Convert to fraction form
    256,176/562,248 = 562,248/x
  3. Step 3: Cross multiply
    256,176x = 562,248 × 562,248
  4. Step 4: Simplify right side
    256,176x = 316,122,813,504
  5. Step 5: Solve for x
    x = 316,122,813,504/256,176
  6. Step 6: Final answer
    x = 1,234,006.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.