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Finding the Third Proportional to 267,502.50 and 366,808.50

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Solution

The third proportional to 267,502.50 and 366,808.50 is: 502,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,502.50 : 366,808.50 = 366,808.50 : x
  2. Step 2: Convert to fraction form
    267,502.50/366,808.50 = 366,808.50/x
  3. Step 3: Cross multiply
    267,502.50x = 366,808.50 × 366,808.50
  4. Step 4: Simplify right side
    267,502.50x = 134,548,475,672.25
  5. Step 5: Solve for x
    x = 134,548,475,672.25/267,502.50
  6. Step 6: Final answer
    x = 502,980.26

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Why These Related Problems?

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