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Finding the Third Proportional to 175,264 and 380,053

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Solution

The third proportional to 175,264 and 380,053 is: 824,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,264 : 380,053 = 380,053 : x
  2. Step 2: Convert to fraction form
    175,264/380,053 = 380,053/x
  3. Step 3: Cross multiply
    175,264x = 380,053 × 380,053
  4. Step 4: Simplify right side
    175,264x = 144,440,282,809
  5. Step 5: Solve for x
    x = 144,440,282,809/175,264
  6. Step 6: Final answer
    x = 824,129.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.