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Finding the Third Proportional to 136,476 and 295,307

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Solution

The third proportional to 136,476 and 295,307 is: 638,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,476 : 295,307 = 295,307 : x
  2. Step 2: Convert to fraction form
    136,476/295,307 = 295,307/x
  3. Step 3: Cross multiply
    136,476x = 295,307 × 295,307
  4. Step 4: Simplify right side
    136,476x = 87,206,224,249
  5. Step 5: Solve for x
    x = 87,206,224,249/136,476
  6. Step 6: Final answer
    x = 638,985.79

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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.