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Finding the Third Proportional to 175,369.50 and 380,623.50

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Solution

The third proportional to 175,369.50 and 380,623.50 is: 826,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,369.50 : 380,623.50 = 380,623.50 : x
  2. Step 2: Convert to fraction form
    175,369.50/380,623.50 = 380,623.50/x
  3. Step 3: Cross multiply
    175,369.50x = 380,623.50 × 380,623.50
  4. Step 4: Simplify right side
    175,369.50x = 144,874,248,752.25
  5. Step 5: Solve for x
    x = 144,874,248,752.25/175,369.50
  6. Step 6: Final answer
    x = 826,108.58

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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.