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Finding the Third Proportional to 178,291 and 242,830.75

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Solution

The third proportional to 178,291 and 242,830.75 is: 330,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,291 : 242,830.75 = 242,830.75 : x
  2. Step 2: Convert to fraction form
    178,291/242,830.75 = 242,830.75/x
  3. Step 3: Cross multiply
    178,291x = 242,830.75 × 242,830.75
  4. Step 4: Simplify right side
    178,291x = 58,966,773,145.56
  5. Step 5: Solve for x
    x = 58,966,773,145.56/178,291
  6. Step 6: Final answer
    x = 330,733.31

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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.