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Finding the Third Proportional to 139,952 and 302,006

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Solution

The third proportional to 139,952 and 302,006 is: 651,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,952 : 302,006 = 302,006 : x
  2. Step 2: Convert to fraction form
    139,952/302,006 = 302,006/x
  3. Step 3: Cross multiply
    139,952x = 302,006 × 302,006
  4. Step 4: Simplify right side
    139,952x = 91,207,624,036
  5. Step 5: Solve for x
    x = 91,207,624,036/139,952
  6. Step 6: Final answer
    x = 651,706.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.