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Finding the Third Proportional to 178,077.50 and 254,633

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Solution

The third proportional to 178,077.50 and 254,633 is: 364,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,077.50 : 254,633 = 254,633 : x
  2. Step 2: Convert to fraction form
    178,077.50/254,633 = 254,633/x
  3. Step 3: Cross multiply
    178,077.50x = 254,633 × 254,633
  4. Step 4: Simplify right side
    178,077.50x = 64,837,964,689
  5. Step 5: Solve for x
    x = 64,837,964,689/178,077.50
  6. Step 6: Final answer
    x = 364,099.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.