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Finding the Third Proportional to 178,437.75 and 242,223.75

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Solution

The third proportional to 178,437.75 and 242,223.75 is: 328,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,437.75 : 242,223.75 = 242,223.75 : x
  2. Step 2: Convert to fraction form
    178,437.75/242,223.75 = 242,223.75/x
  3. Step 3: Cross multiply
    178,437.75x = 242,223.75 × 242,223.75
  4. Step 4: Simplify right side
    178,437.75x = 58,672,345,064.06
  5. Step 5: Solve for x
    x = 58,672,345,064.06/178,437.75
  6. Step 6: Final answer
    x = 328,811.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.