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Finding the Third Proportional to 178,296.19 and 242,839.69

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Solution

The third proportional to 178,296.19 and 242,839.69 is: 330,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,296.19 : 242,839.69 = 242,839.69 : x
  2. Step 2: Convert to fraction form
    178,296.19/242,839.69 = 242,839.69/x
  3. Step 3: Cross multiply
    178,296.19x = 242,839.69 × 242,839.69
  4. Step 4: Simplify right side
    178,296.19x = 58,971,113,825.10
  5. Step 5: Solve for x
    x = 58,971,113,825.10/178,296.19
  6. Step 6: Final answer
    x = 330,748.04

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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.