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Finding the Third Proportional to 210,106.50 and 315,370.50

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Solution

The third proportional to 210,106.50 and 315,370.50 is: 473,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,106.50 : 315,370.50 = 315,370.50 : x
  2. Step 2: Convert to fraction form
    210,106.50/315,370.50 = 315,370.50/x
  3. Step 3: Cross multiply
    210,106.50x = 315,370.50 × 315,370.50
  4. Step 4: Simplify right side
    210,106.50x = 99,458,552,270.25
  5. Step 5: Solve for x
    x = 99,458,552,270.25/210,106.50
  6. Step 6: Final answer
    x = 473,372.09

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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.