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Finding the Third Proportional to 178,437 and 260,953.50

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Solution

The third proportional to 178,437 and 260,953.50 is: 381,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,437 : 260,953.50 = 260,953.50 : x
  2. Step 2: Convert to fraction form
    178,437/260,953.50 = 260,953.50/x
  3. Step 3: Cross multiply
    178,437x = 260,953.50 × 260,953.50
  4. Step 4: Simplify right side
    178,437x = 68,096,729,162.25
  5. Step 5: Solve for x
    x = 68,096,729,162.25/178,437
  6. Step 6: Final answer
    x = 381,628.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.