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Finding the Third Proportional to 187,569 and 433,849.50

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Solution

The third proportional to 187,569 and 433,849.50 is: 1,003,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,569 : 433,849.50 = 433,849.50 : x
  2. Step 2: Convert to fraction form
    187,569/433,849.50 = 433,849.50/x
  3. Step 3: Cross multiply
    187,569x = 433,849.50 × 433,849.50
  4. Step 4: Simplify right side
    187,569x = 188,225,388,650.25
  5. Step 5: Solve for x
    x = 188,225,388,650.25/187,569
  6. Step 6: Final answer
    x = 1,003,499.45

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.