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Finding the Third Proportional to 242,112 and 375,760

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Solution

The third proportional to 242,112 and 375,760 is: 583,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,112 : 375,760 = 375,760 : x
  2. Step 2: Convert to fraction form
    242,112/375,760 = 375,760/x
  3. Step 3: Cross multiply
    242,112x = 375,760 × 375,760
  4. Step 4: Simplify right side
    242,112x = 141,195,577,600
  5. Step 5: Solve for x
    x = 141,195,577,600/242,112
  6. Step 6: Final answer
    x = 583,182.90

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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.