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Finding the Third Proportional to 170,512.88 and 266,703.75

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Solution

The third proportional to 170,512.88 and 266,703.75 is: 417,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,512.88 : 266,703.75 = 266,703.75 : x
  2. Step 2: Convert to fraction form
    170,512.88/266,703.75 = 266,703.75/x
  3. Step 3: Cross multiply
    170,512.88x = 266,703.75 × 266,703.75
  4. Step 4: Simplify right side
    170,512.88x = 71,130,890,264.06
  5. Step 5: Solve for x
    x = 71,130,890,264.06/170,512.88
  6. Step 6: Final answer
    x = 417,158.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.