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Finding the Third Proportional to 210,164 and 315,460

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Solution

The third proportional to 210,164 and 315,460 is: 473,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,164 : 315,460 = 315,460 : x
  2. Step 2: Convert to fraction form
    210,164/315,460 = 315,460/x
  3. Step 3: Cross multiply
    210,164x = 315,460 × 315,460
  4. Step 4: Simplify right side
    210,164x = 99,515,011,600
  5. Step 5: Solve for x
    x = 99,515,011,600/210,164
  6. Step 6: Final answer
    x = 473,511.22

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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.