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Finding the Third Proportional to 214,903.13 and 233,333.16

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Solution

The third proportional to 214,903.13 and 233,333.16 is: 253,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,903.13 : 233,333.16 = 233,333.16 : x
  2. Step 2: Convert to fraction form
    214,903.13/233,333.16 = 233,333.16/x
  3. Step 3: Cross multiply
    214,903.13x = 233,333.16 × 233,333.16
  4. Step 4: Simplify right side
    214,903.13x = 54,444,361,805.59
  5. Step 5: Solve for x
    x = 54,444,361,805.59/214,903.13
  6. Step 6: Final answer
    x = 253,343.74

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.