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Finding the Third Proportional to 277,176 and 386,176.50

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Solution

The third proportional to 277,176 and 386,176.50 is: 538,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,176 : 386,176.50 = 386,176.50 : x
  2. Step 2: Convert to fraction form
    277,176/386,176.50 = 386,176.50/x
  3. Step 3: Cross multiply
    277,176x = 386,176.50 × 386,176.50
  4. Step 4: Simplify right side
    277,176x = 149,132,289,152.25
  5. Step 5: Solve for x
    x = 149,132,289,152.25/277,176
  6. Step 6: Final answer
    x = 538,041.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.