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Finding the Third Proportional to 176,847.38 and 381,835.50

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Solution

The third proportional to 176,847.38 and 381,835.50 is: 824,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,847.38 : 381,835.50 = 381,835.50 : x
  2. Step 2: Convert to fraction form
    176,847.38/381,835.50 = 381,835.50/x
  3. Step 3: Cross multiply
    176,847.38x = 381,835.50 × 381,835.50
  4. Step 4: Simplify right side
    176,847.38x = 145,798,349,060.25
  5. Step 5: Solve for x
    x = 145,798,349,060.25/176,847.38
  6. Step 6: Final answer
    x = 824,430.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.