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Finding the Third Proportional to 211,983.50 and 457,202

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Solution

The third proportional to 211,983.50 and 457,202 is: 986,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,983.50 : 457,202 = 457,202 : x
  2. Step 2: Convert to fraction form
    211,983.50/457,202 = 457,202/x
  3. Step 3: Cross multiply
    211,983.50x = 457,202 × 457,202
  4. Step 4: Simplify right side
    211,983.50x = 209,033,668,804
  5. Step 5: Solve for x
    x = 209,033,668,804/211,983.50
  6. Step 6: Final answer
    x = 986,084.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.