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Finding the Third Proportional to 161,623.88 and 243,666

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Solution

The third proportional to 161,623.88 and 243,666 is: 367,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,623.88 : 243,666 = 243,666 : x
  2. Step 2: Convert to fraction form
    161,623.88/243,666 = 243,666/x
  3. Step 3: Cross multiply
    161,623.88x = 243,666 × 243,666
  4. Step 4: Simplify right side
    161,623.88x = 59,373,119,556
  5. Step 5: Solve for x
    x = 59,373,119,556/161,623.88
  6. Step 6: Final answer
    x = 367,353.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.