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Finding the Third Proportional to 136,302 and 293,340

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Solution

The third proportional to 136,302 and 293,340 is: 631,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,302 : 293,340 = 293,340 : x
  2. Step 2: Convert to fraction form
    136,302/293,340 = 293,340/x
  3. Step 3: Cross multiply
    136,302x = 293,340 × 293,340
  4. Step 4: Simplify right side
    136,302x = 86,048,355,600
  5. Step 5: Solve for x
    x = 86,048,355,600/136,302
  6. Step 6: Final answer
    x = 631,306.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.