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Finding the Third Proportional to 296,156.25 and 433,127.25

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Solution

The third proportional to 296,156.25 and 433,127.25 is: 633,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,156.25 : 433,127.25 = 433,127.25 : x
  2. Step 2: Convert to fraction form
    296,156.25/433,127.25 = 433,127.25/x
  3. Step 3: Cross multiply
    296,156.25x = 433,127.25 × 433,127.25
  4. Step 4: Simplify right side
    296,156.25x = 187,599,214,692.56
  5. Step 5: Solve for x
    x = 187,599,214,692.56/296,156.25
  6. Step 6: Final answer
    x = 633,446.75

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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.