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Finding the Third Proportional to 161,762.91 and 340,254

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Solution

The third proportional to 161,762.91 and 340,254 is: 715,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,762.91 : 340,254 = 340,254 : x
  2. Step 2: Convert to fraction form
    161,762.91/340,254 = 340,254/x
  3. Step 3: Cross multiply
    161,762.91x = 340,254 × 340,254
  4. Step 4: Simplify right side
    161,762.91x = 115,772,784,516
  5. Step 5: Solve for x
    x = 115,772,784,516/161,762.91
  6. Step 6: Final answer
    x = 715,694.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.