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Finding the Third Proportional to 175,533.75 and 377,730.75

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Solution

The third proportional to 175,533.75 and 377,730.75 is: 812,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,533.75 : 377,730.75 = 377,730.75 : x
  2. Step 2: Convert to fraction form
    175,533.75/377,730.75 = 377,730.75/x
  3. Step 3: Cross multiply
    175,533.75x = 377,730.75 × 377,730.75
  4. Step 4: Simplify right side
    175,533.75x = 142,680,519,495.56
  5. Step 5: Solve for x
    x = 142,680,519,495.56/175,533.75
  6. Step 6: Final answer
    x = 812,838.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.