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Finding the Third Proportional to 210,276 and 315,102

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Solution

The third proportional to 210,276 and 315,102 is: 472,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,276 : 315,102 = 315,102 : x
  2. Step 2: Convert to fraction form
    210,276/315,102 = 315,102/x
  3. Step 3: Cross multiply
    210,276x = 315,102 × 315,102
  4. Step 4: Simplify right side
    210,276x = 99,289,270,404
  5. Step 5: Solve for x
    x = 99,289,270,404/210,276
  6. Step 6: Final answer
    x = 472,185.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.