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Finding the Third Proportional to 161,025.75 and 236,614.50

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Solution

The third proportional to 161,025.75 and 236,614.50 is: 347,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,025.75 : 236,614.50 = 236,614.50 : x
  2. Step 2: Convert to fraction form
    161,025.75/236,614.50 = 236,614.50/x
  3. Step 3: Cross multiply
    161,025.75x = 236,614.50 × 236,614.50
  4. Step 4: Simplify right side
    161,025.75x = 55,986,421,610.25
  5. Step 5: Solve for x
    x = 55,986,421,610.25/161,025.75
  6. Step 6: Final answer
    x = 347,686.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.