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Finding the Third Proportional to 210,880.13 and 326,624.06

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Solution

The third proportional to 210,880.13 and 326,624.06 is: 505,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,880.13 : 326,624.06 = 326,624.06 : x
  2. Step 2: Convert to fraction form
    210,880.13/326,624.06 = 326,624.06/x
  3. Step 3: Cross multiply
    210,880.13x = 326,624.06 × 326,624.06
  4. Step 4: Simplify right side
    210,880.13x = 106,683,278,204.00
  5. Step 5: Solve for x
    x = 106,683,278,204.00/210,880.13
  6. Step 6: Final answer
    x = 505,895.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.