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Finding the Third Proportional to 210,316 and 300,462

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Solution

The third proportional to 210,316 and 300,462 is: 429,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,316 : 300,462 = 300,462 : x
  2. Step 2: Convert to fraction form
    210,316/300,462 = 300,462/x
  3. Step 3: Cross multiply
    210,316x = 300,462 × 300,462
  4. Step 4: Simplify right side
    210,316x = 90,277,413,444
  5. Step 5: Solve for x
    x = 90,277,413,444/210,316
  6. Step 6: Final answer
    x = 429,246.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.