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Finding the Third Proportional to 242,753 and 380,810

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Solution

The third proportional to 242,753 and 380,810 is: 597,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,753 : 380,810 = 380,810 : x
  2. Step 2: Convert to fraction form
    242,753/380,810 = 380,810/x
  3. Step 3: Cross multiply
    242,753x = 380,810 × 380,810
  4. Step 4: Simplify right side
    242,753x = 145,016,256,100
  5. Step 5: Solve for x
    x = 145,016,256,100/242,753
  6. Step 6: Final answer
    x = 597,381.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.