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Finding the Third Proportional to 161,740 and 237,330

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Solution

The third proportional to 161,740 and 237,330 is: 348,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,740 : 237,330 = 237,330 : x
  2. Step 2: Convert to fraction form
    161,740/237,330 = 237,330/x
  3. Step 3: Cross multiply
    161,740x = 237,330 × 237,330
  4. Step 4: Simplify right side
    161,740x = 56,325,528,900
  5. Step 5: Solve for x
    x = 56,325,528,900/161,740
  6. Step 6: Final answer
    x = 348,247.37

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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.