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Finding the Third Proportional to 122,307.47 and 194,578.45

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Solution

The third proportional to 122,307.47 and 194,578.45 is: 309,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,307.47 : 194,578.45 = 194,578.45 : x
  2. Step 2: Convert to fraction form
    122,307.47/194,578.45 = 194,578.45/x
  3. Step 3: Cross multiply
    122,307.47x = 194,578.45 × 194,578.45
  4. Step 4: Simplify right side
    122,307.47x = 37,860,774,420.52
  5. Step 5: Solve for x
    x = 37,860,774,420.52/122,307.47
  6. Step 6: Final answer
    x = 309,554.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.