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Finding the Third Proportional to 136,749 and 295,368

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Solution

The third proportional to 136,749 and 295,368 is: 637,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,749 : 295,368 = 295,368 : x
  2. Step 2: Convert to fraction form
    136,749/295,368 = 295,368/x
  3. Step 3: Cross multiply
    136,749x = 295,368 × 295,368
  4. Step 4: Simplify right side
    136,749x = 87,242,255,424
  5. Step 5: Solve for x
    x = 87,242,255,424/136,749
  6. Step 6: Final answer
    x = 637,973.63

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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.