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Finding the Third Proportional to 137,964 and 294,261

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Solution

The third proportional to 137,964 and 294,261 is: 627,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,964 : 294,261 = 294,261 : x
  2. Step 2: Convert to fraction form
    137,964/294,261 = 294,261/x
  3. Step 3: Cross multiply
    137,964x = 294,261 × 294,261
  4. Step 4: Simplify right side
    137,964x = 86,589,536,121
  5. Step 5: Solve for x
    x = 86,589,536,121/137,964
  6. Step 6: Final answer
    x = 627,624.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.