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Finding the Third Proportional to 108,284.98 and 166,656.23

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Solution

The third proportional to 108,284.98 and 166,656.23 is: 256,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,284.98 : 166,656.23 = 166,656.23 : x
  2. Step 2: Convert to fraction form
    108,284.98/166,656.23 = 166,656.23/x
  3. Step 3: Cross multiply
    108,284.98x = 166,656.23 × 166,656.23
  4. Step 4: Simplify right side
    108,284.98x = 27,774,300,456.05
  5. Step 5: Solve for x
    x = 27,774,300,456.05/108,284.98
  6. Step 6: Final answer
    x = 256,492.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.