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Finding the Third Proportional to 172,020 and 262,540.50

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Solution

The third proportional to 172,020 and 262,540.50 is: 400,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,020 : 262,540.50 = 262,540.50 : x
  2. Step 2: Convert to fraction form
    172,020/262,540.50 = 262,540.50/x
  3. Step 3: Cross multiply
    172,020x = 262,540.50 × 262,540.50
  4. Step 4: Simplify right side
    172,020x = 68,927,514,140.25
  5. Step 5: Solve for x
    x = 68,927,514,140.25/172,020
  6. Step 6: Final answer
    x = 400,694.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.