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Finding the Third Proportional to 176,090.63 and 267,502.50

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Solution

The third proportional to 176,090.63 and 267,502.50 is: 406,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,090.63 : 267,502.50 = 267,502.50 : x
  2. Step 2: Convert to fraction form
    176,090.63/267,502.50 = 267,502.50/x
  3. Step 3: Cross multiply
    176,090.63x = 267,502.50 × 267,502.50
  4. Step 4: Simplify right side
    176,090.63x = 71,557,587,506.25
  5. Step 5: Solve for x
    x = 71,557,587,506.25/176,090.63
  6. Step 6: Final answer
    x = 406,367.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.