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Finding the Third Proportional to 215,213.63 and 272,877.19

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Solution

The third proportional to 215,213.63 and 272,877.19 is: 345,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,213.63 : 272,877.19 = 272,877.19 : x
  2. Step 2: Convert to fraction form
    215,213.63/272,877.19 = 272,877.19/x
  3. Step 3: Cross multiply
    215,213.63x = 272,877.19 × 272,877.19
  4. Step 4: Simplify right side
    215,213.63x = 74,461,959,457.91
  5. Step 5: Solve for x
    x = 74,461,959,457.91/215,213.63
  6. Step 6: Final answer
    x = 345,990.92

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.