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Finding the Third Proportional to 267,582 and 366,927.50

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Solution

The third proportional to 267,582 and 366,927.50 is: 503,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,582 : 366,927.50 = 366,927.50 : x
  2. Step 2: Convert to fraction form
    267,582/366,927.50 = 366,927.50/x
  3. Step 3: Cross multiply
    267,582x = 366,927.50 × 366,927.50
  4. Step 4: Simplify right side
    267,582x = 134,635,790,256.25
  5. Step 5: Solve for x
    x = 134,635,790,256.25/267,582
  6. Step 6: Final answer
    x = 503,157.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.