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Finding the Third Proportional to 210,146 and 315,438

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Solution

The third proportional to 210,146 and 315,438 is: 473,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,146 : 315,438 = 315,438 : x
  2. Step 2: Convert to fraction form
    210,146/315,438 = 315,438/x
  3. Step 3: Cross multiply
    210,146x = 315,438 × 315,438
  4. Step 4: Simplify right side
    210,146x = 99,501,131,844
  5. Step 5: Solve for x
    x = 99,501,131,844/210,146
  6. Step 6: Final answer
    x = 473,485.73

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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.