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Finding the Third Proportional to 112,476 and 265,515

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Solution

The third proportional to 112,476 and 265,515 is: 626,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,476 : 265,515 = 265,515 : x
  2. Step 2: Convert to fraction form
    112,476/265,515 = 265,515/x
  3. Step 3: Cross multiply
    112,476x = 265,515 × 265,515
  4. Step 4: Simplify right side
    112,476x = 70,498,215,225
  5. Step 5: Solve for x
    x = 70,498,215,225/112,476
  6. Step 6: Final answer
    x = 626,784.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.