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Finding the Third Proportional to 175,335 and 380,559

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Solution

The third proportional to 175,335 and 380,559 is: 825,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,335 : 380,559 = 380,559 : x
  2. Step 2: Convert to fraction form
    175,335/380,559 = 380,559/x
  3. Step 3: Cross multiply
    175,335x = 380,559 × 380,559
  4. Step 4: Simplify right side
    175,335x = 144,825,152,481
  5. Step 5: Solve for x
    x = 144,825,152,481/175,335
  6. Step 6: Final answer
    x = 825,991.12

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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.