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Finding the Third Proportional to 173,547.56 and 262,170.42

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Solution

The third proportional to 173,547.56 and 262,170.42 is: 396,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,547.56 : 262,170.42 = 262,170.42 : x
  2. Step 2: Convert to fraction form
    173,547.56/262,170.42 = 262,170.42/x
  3. Step 3: Cross multiply
    173,547.56x = 262,170.42 × 262,170.42
  4. Step 4: Simplify right side
    173,547.56x = 68,733,330,106.12
  5. Step 5: Solve for x
    x = 68,733,330,106.12/173,547.56
  6. Step 6: Final answer
    x = 396,048.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.