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Finding the Third Proportional to 145,084 and 221,796

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Solution

The third proportional to 145,084 and 221,796 is: 339,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,084 : 221,796 = 221,796 : x
  2. Step 2: Convert to fraction form
    145,084/221,796 = 221,796/x
  3. Step 3: Cross multiply
    145,084x = 221,796 × 221,796
  4. Step 4: Simplify right side
    145,084x = 49,193,465,616
  5. Step 5: Solve for x
    x = 49,193,465,616/145,084
  6. Step 6: Final answer
    x = 339,068.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.