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Finding the Third Proportional to 263,202 and 375,119

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Solution

The third proportional to 263,202 and 375,119 is: 534,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,202 : 375,119 = 375,119 : x
  2. Step 2: Convert to fraction form
    263,202/375,119 = 375,119/x
  3. Step 3: Cross multiply
    263,202x = 375,119 × 375,119
  4. Step 4: Simplify right side
    263,202x = 140,714,264,161
  5. Step 5: Solve for x
    x = 140,714,264,161/263,202
  6. Step 6: Final answer
    x = 534,624.60

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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.