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Finding the Third Proportional to 187,206.19 and 264,898.69

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Solution

The third proportional to 187,206.19 and 264,898.69 is: 374,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,206.19 : 264,898.69 = 264,898.69 : x
  2. Step 2: Convert to fraction form
    187,206.19/264,898.69 = 264,898.69/x
  3. Step 3: Cross multiply
    187,206.19x = 264,898.69 × 264,898.69
  4. Step 4: Simplify right side
    187,206.19x = 70,171,314,639.22
  5. Step 5: Solve for x
    x = 70,171,314,639.22/187,206.19
  6. Step 6: Final answer
    x = 374,834.38

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.