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Finding the Third Proportional to 235,588.50 and 509,085

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Solution

The third proportional to 235,588.50 and 509,085 is: 1,100,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,588.50 : 509,085 = 509,085 : x
  2. Step 2: Convert to fraction form
    235,588.50/509,085 = 509,085/x
  3. Step 3: Cross multiply
    235,588.50x = 509,085 × 509,085
  4. Step 4: Simplify right side
    235,588.50x = 259,167,537,225
  5. Step 5: Solve for x
    x = 259,167,537,225/235,588.50
  6. Step 6: Final answer
    x = 1,100,085.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.