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Finding the Third Proportional to 192,730 and 296,610

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Solution

The third proportional to 192,730 and 296,610 is: 456,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,730 : 296,610 = 296,610 : x
  2. Step 2: Convert to fraction form
    192,730/296,610 = 296,610/x
  3. Step 3: Cross multiply
    192,730x = 296,610 × 296,610
  4. Step 4: Simplify right side
    192,730x = 87,977,492,100
  5. Step 5: Solve for x
    x = 87,977,492,100/192,730
  6. Step 6: Final answer
    x = 456,480.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.