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Finding the Third Proportional to 134,737 and 293,395

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Solution

The third proportional to 134,737 and 293,395 is: 638,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,737 : 293,395 = 293,395 : x
  2. Step 2: Convert to fraction form
    134,737/293,395 = 293,395/x
  3. Step 3: Cross multiply
    134,737x = 293,395 × 293,395
  4. Step 4: Simplify right side
    134,737x = 86,080,626,025
  5. Step 5: Solve for x
    x = 86,080,626,025/134,737
  6. Step 6: Final answer
    x = 638,878.90

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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.