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Finding the Third Proportional to 114,652.50 and 237,405

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Solution

The third proportional to 114,652.50 and 237,405 is: 491,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,652.50 : 237,405 = 237,405 : x
  2. Step 2: Convert to fraction form
    114,652.50/237,405 = 237,405/x
  3. Step 3: Cross multiply
    114,652.50x = 237,405 × 237,405
  4. Step 4: Simplify right side
    114,652.50x = 56,361,134,025
  5. Step 5: Solve for x
    x = 56,361,134,025/114,652.50
  6. Step 6: Final answer
    x = 491,582.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.