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Finding the Third Proportional to 159,048 and 243,666

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Solution

The third proportional to 159,048 and 243,666 is: 373,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,048 : 243,666 = 243,666 : x
  2. Step 2: Convert to fraction form
    159,048/243,666 = 243,666/x
  3. Step 3: Cross multiply
    159,048x = 243,666 × 243,666
  4. Step 4: Simplify right side
    159,048x = 59,373,119,556
  5. Step 5: Solve for x
    x = 59,373,119,556/159,048
  6. Step 6: Final answer
    x = 373,303.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.