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Finding the Third Proportional to 112,314 and 245,730

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Solution

The third proportional to 112,314 and 245,730 is: 537,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,314 : 245,730 = 245,730 : x
  2. Step 2: Convert to fraction form
    112,314/245,730 = 245,730/x
  3. Step 3: Cross multiply
    112,314x = 245,730 × 245,730
  4. Step 4: Simplify right side
    112,314x = 60,383,232,900
  5. Step 5: Solve for x
    x = 60,383,232,900/112,314
  6. Step 6: Final answer
    x = 537,628.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.