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Finding the Third Proportional to 315,186 and 473,100

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Solution

The third proportional to 315,186 and 473,100 is: 710,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,186 : 473,100 = 473,100 : x
  2. Step 2: Convert to fraction form
    315,186/473,100 = 473,100/x
  3. Step 3: Cross multiply
    315,186x = 473,100 × 473,100
  4. Step 4: Simplify right side
    315,186x = 223,823,610,000
  5. Step 5: Solve for x
    x = 223,823,610,000/315,186
  6. Step 6: Final answer
    x = 710,131.83

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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.