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Finding the Third Proportional to 214,015.50 and 506,126.81

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Solution

The third proportional to 214,015.50 and 506,126.81 is: 1,196,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,015.50 : 506,126.81 = 506,126.81 : x
  2. Step 2: Convert to fraction form
    214,015.50/506,126.81 = 506,126.81/x
  3. Step 3: Cross multiply
    214,015.50x = 506,126.81 × 506,126.81
  4. Step 4: Simplify right side
    214,015.50x = 256,164,350,331.41
  5. Step 5: Solve for x
    x = 256,164,350,331.41/214,015.50
  6. Step 6: Final answer
    x = 1,196,942.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.