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Finding the Third Proportional to 134,904 and 296,964

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Solution

The third proportional to 134,904 and 296,964 is: 653,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,904 : 296,964 = 296,964 : x
  2. Step 2: Convert to fraction form
    134,904/296,964 = 296,964/x
  3. Step 3: Cross multiply
    134,904x = 296,964 × 296,964
  4. Step 4: Simplify right side
    134,904x = 88,187,617,296
  5. Step 5: Solve for x
    x = 88,187,617,296/134,904
  6. Step 6: Final answer
    x = 653,706.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.