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Finding the Third Proportional to 161,546 and 237,132

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Solution

The third proportional to 161,546 and 237,132 is: 348,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,546 : 237,132 = 237,132 : x
  2. Step 2: Convert to fraction form
    161,546/237,132 = 237,132/x
  3. Step 3: Cross multiply
    161,546x = 237,132 × 237,132
  4. Step 4: Simplify right side
    161,546x = 56,231,585,424
  5. Step 5: Solve for x
    x = 56,231,585,424/161,546
  6. Step 6: Final answer
    x = 348,084.05

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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.