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Finding the Third Proportional to 134,834 and 293,380

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Solution

The third proportional to 134,834 and 293,380 is: 638,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,834 : 293,380 = 293,380 : x
  2. Step 2: Convert to fraction form
    134,834/293,380 = 293,380/x
  3. Step 3: Cross multiply
    134,834x = 293,380 × 293,380
  4. Step 4: Simplify right side
    134,834x = 86,071,824,400
  5. Step 5: Solve for x
    x = 86,071,824,400/134,834
  6. Step 6: Final answer
    x = 638,354.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.