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Finding the Third Proportional to 226,515 and 272,032.50

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Solution

The third proportional to 226,515 and 272,032.50 is: 326,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,515 : 272,032.50 = 272,032.50 : x
  2. Step 2: Convert to fraction form
    226,515/272,032.50 = 272,032.50/x
  3. Step 3: Cross multiply
    226,515x = 272,032.50 × 272,032.50
  4. Step 4: Simplify right side
    226,515x = 74,001,681,056.25
  5. Step 5: Solve for x
    x = 74,001,681,056.25/226,515
  6. Step 6: Final answer
    x = 326,696.60

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.