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Finding the Third Proportional to 175,394 and 385,780

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Solution

The third proportional to 175,394 and 385,780 is: 848,525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,394 : 385,780 = 385,780 : x
  2. Step 2: Convert to fraction form
    175,394/385,780 = 385,780/x
  3. Step 3: Cross multiply
    175,394x = 385,780 × 385,780
  4. Step 4: Simplify right side
    175,394x = 148,826,208,400
  5. Step 5: Solve for x
    x = 148,826,208,400/175,394
  6. Step 6: Final answer
    x = 848,525.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.