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Finding the Third Proportional to 109,302.75 and 235,372.50

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Solution

The third proportional to 109,302.75 and 235,372.50 is: 506,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,302.75 : 235,372.50 = 235,372.50 : x
  2. Step 2: Convert to fraction form
    109,302.75/235,372.50 = 235,372.50/x
  3. Step 3: Cross multiply
    109,302.75x = 235,372.50 × 235,372.50
  4. Step 4: Simplify right side
    109,302.75x = 55,400,213,756.25
  5. Step 5: Solve for x
    x = 55,400,213,756.25/109,302.75
  6. Step 6: Final answer
    x = 506,851.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.