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Finding the Third Proportional to 242,130 and 513,096

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Solution

The third proportional to 242,130 and 513,096 is: 1,087,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,130 : 513,096 = 513,096 : x
  2. Step 2: Convert to fraction form
    242,130/513,096 = 513,096/x
  3. Step 3: Cross multiply
    242,130x = 513,096 × 513,096
  4. Step 4: Simplify right side
    242,130x = 263,267,505,216
  5. Step 5: Solve for x
    x = 263,267,505,216/242,130
  6. Step 6: Final answer
    x = 1,087,298.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.