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Finding the Third Proportional to 237,195 and 508,288.50

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Solution

The third proportional to 237,195 and 508,288.50 is: 1,089,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,195 : 508,288.50 = 508,288.50 : x
  2. Step 2: Convert to fraction form
    237,195/508,288.50 = 508,288.50/x
  3. Step 3: Cross multiply
    237,195x = 508,288.50 × 508,288.50
  4. Step 4: Simplify right side
    237,195x = 258,357,199,232.25
  5. Step 5: Solve for x
    x = 258,357,199,232.25/237,195
  6. Step 6: Final answer
    x = 1,089,218.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.