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Finding the Third Proportional to 139,154 and 297,985

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Solution

The third proportional to 139,154 and 297,985 is: 638,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,154 : 297,985 = 297,985 : x
  2. Step 2: Convert to fraction form
    139,154/297,985 = 297,985/x
  3. Step 3: Cross multiply
    139,154x = 297,985 × 297,985
  4. Step 4: Simplify right side
    139,154x = 88,795,060,225
  5. Step 5: Solve for x
    x = 88,795,060,225/139,154
  6. Step 6: Final answer
    x = 638,106.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.