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Finding the Third Proportional to 190,738 and 280,263

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Solution

The third proportional to 190,738 and 280,263 is: 411,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,738 : 280,263 = 280,263 : x
  2. Step 2: Convert to fraction form
    190,738/280,263 = 280,263/x
  3. Step 3: Cross multiply
    190,738x = 280,263 × 280,263
  4. Step 4: Simplify right side
    190,738x = 78,547,349,169
  5. Step 5: Solve for x
    x = 78,547,349,169/190,738
  6. Step 6: Final answer
    x = 411,807.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.