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Finding the Third Proportional to 136,447 and 295,087

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Solution

The third proportional to 136,447 and 295,087 is: 638,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,447 : 295,087 = 295,087 : x
  2. Step 2: Convert to fraction form
    136,447/295,087 = 295,087/x
  3. Step 3: Cross multiply
    136,447x = 295,087 × 295,087
  4. Step 4: Simplify right side
    136,447x = 87,076,337,569
  5. Step 5: Solve for x
    x = 87,076,337,569/136,447
  6. Step 6: Final answer
    x = 638,169.67

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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.