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Finding the Third Proportional to 296,170.50 and 433,147.50

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Solution

The third proportional to 296,170.50 and 433,147.50 is: 633,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,170.50 : 433,147.50 = 433,147.50 : x
  2. Step 2: Convert to fraction form
    296,170.50/433,147.50 = 433,147.50/x
  3. Step 3: Cross multiply
    296,170.50x = 433,147.50 × 433,147.50
  4. Step 4: Simplify right side
    296,170.50x = 187,616,756,756.25
  5. Step 5: Solve for x
    x = 187,616,756,756.25/296,170.50
  6. Step 6: Final answer
    x = 633,475.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.