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Finding the Third Proportional to 207,312.75 and 452,145

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Solution

The third proportional to 207,312.75 and 452,145 is: 986,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,312.75 : 452,145 = 452,145 : x
  2. Step 2: Convert to fraction form
    207,312.75/452,145 = 452,145/x
  3. Step 3: Cross multiply
    207,312.75x = 452,145 × 452,145
  4. Step 4: Simplify right side
    207,312.75x = 204,435,101,025
  5. Step 5: Solve for x
    x = 204,435,101,025/207,312.75
  6. Step 6: Final answer
    x = 986,119.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.