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Finding the Third Proportional to 185,148 and 280,316

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Solution

The third proportional to 185,148 and 280,316 is: 424,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,148 : 280,316 = 280,316 : x
  2. Step 2: Convert to fraction form
    185,148/280,316 = 280,316/x
  3. Step 3: Cross multiply
    185,148x = 280,316 × 280,316
  4. Step 4: Simplify right side
    185,148x = 78,577,059,856
  5. Step 5: Solve for x
    x = 78,577,059,856/185,148
  6. Step 6: Final answer
    x = 424,401.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.