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Finding the Third Proportional to 157,104 and 243,648

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Solution

The third proportional to 157,104 and 243,648 is: 377,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,104 : 243,648 = 243,648 : x
  2. Step 2: Convert to fraction form
    157,104/243,648 = 243,648/x
  3. Step 3: Cross multiply
    157,104x = 243,648 × 243,648
  4. Step 4: Simplify right side
    157,104x = 59,364,347,904
  5. Step 5: Solve for x
    x = 59,364,347,904/157,104
  6. Step 6: Final answer
    x = 377,866.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.