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Finding the Third Proportional to 315,200.50 and 473,125

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Solution

The third proportional to 315,200.50 and 473,125 is: 710,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,200.50 : 473,125 = 473,125 : x
  2. Step 2: Convert to fraction form
    315,200.50/473,125 = 473,125/x
  3. Step 3: Cross multiply
    315,200.50x = 473,125 × 473,125
  4. Step 4: Simplify right side
    315,200.50x = 223,847,265,625
  5. Step 5: Solve for x
    x = 223,847,265,625/315,200.50
  6. Step 6: Final answer
    x = 710,174.21

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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.