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Finding the Third Proportional to 170,646.75 and 229,724.44

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Solution

The third proportional to 170,646.75 and 229,724.44 is: 309,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,646.75 : 229,724.44 = 229,724.44 : x
  2. Step 2: Convert to fraction form
    170,646.75/229,724.44 = 229,724.44/x
  3. Step 3: Cross multiply
    170,646.75x = 229,724.44 × 229,724.44
  4. Step 4: Simplify right side
    170,646.75x = 52,773,317,184.69
  5. Step 5: Solve for x
    x = 52,773,317,184.69/170,646.75
  6. Step 6: Final answer
    x = 309,254.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.