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Finding the Third Proportional to 210,060.75 and 315,244.50

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Solution

The third proportional to 210,060.75 and 315,244.50 is: 473,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,060.75 : 315,244.50 = 315,244.50 : x
  2. Step 2: Convert to fraction form
    210,060.75/315,244.50 = 315,244.50/x
  3. Step 3: Cross multiply
    210,060.75x = 315,244.50 × 315,244.50
  4. Step 4: Simplify right side
    210,060.75x = 99,379,094,780.25
  5. Step 5: Solve for x
    x = 99,379,094,780.25/210,060.75
  6. Step 6: Final answer
    x = 473,096.92

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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.