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Finding the Third Proportional to 263,210 and 375,130

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Solution

The third proportional to 263,210 and 375,130 is: 534,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,210 : 375,130 = 375,130 : x
  2. Step 2: Convert to fraction form
    263,210/375,130 = 375,130/x
  3. Step 3: Cross multiply
    263,210x = 375,130 × 375,130
  4. Step 4: Simplify right side
    263,210x = 140,722,516,900
  5. Step 5: Solve for x
    x = 140,722,516,900/263,210
  6. Step 6: Final answer
    x = 534,639.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.