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Finding the Third Proportional to 120,798 and 272,913.75

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Solution

The third proportional to 120,798 and 272,913.75 is: 616,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,798 : 272,913.75 = 272,913.75 : x
  2. Step 2: Convert to fraction form
    120,798/272,913.75 = 272,913.75/x
  3. Step 3: Cross multiply
    120,798x = 272,913.75 × 272,913.75
  4. Step 4: Simplify right side
    120,798x = 74,481,914,939.06
  5. Step 5: Solve for x
    x = 74,481,914,939.06/120,798
  6. Step 6: Final answer
    x = 616,582.35

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.