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Finding the Third Proportional to 170,330.63 and 264,489.75

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Solution

The third proportional to 170,330.63 and 264,489.75 is: 410,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,330.63 : 264,489.75 = 264,489.75 : x
  2. Step 2: Convert to fraction form
    170,330.63/264,489.75 = 264,489.75/x
  3. Step 3: Cross multiply
    170,330.63x = 264,489.75 × 264,489.75
  4. Step 4: Simplify right side
    170,330.63x = 69,954,827,855.06
  5. Step 5: Solve for x
    x = 69,954,827,855.06/170,330.63
  6. Step 6: Final answer
    x = 410,700.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.