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Finding the Third Proportional to 174,910 and 276,526.50

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Solution

The third proportional to 174,910 and 276,526.50 is: 437,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,910 : 276,526.50 = 276,526.50 : x
  2. Step 2: Convert to fraction form
    174,910/276,526.50 = 276,526.50/x
  3. Step 3: Cross multiply
    174,910x = 276,526.50 × 276,526.50
  4. Step 4: Simplify right side
    174,910x = 76,466,905,202.25
  5. Step 5: Solve for x
    x = 76,466,905,202.25/174,910
  6. Step 6: Final answer
    x = 437,178.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.