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Finding the Third Proportional to 136,545 and 297,026

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Solution

The third proportional to 136,545 and 297,026 is: 646,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,545 : 297,026 = 297,026 : x
  2. Step 2: Convert to fraction form
    136,545/297,026 = 297,026/x
  3. Step 3: Cross multiply
    136,545x = 297,026 × 297,026
  4. Step 4: Simplify right side
    136,545x = 88,224,444,676
  5. Step 5: Solve for x
    x = 88,224,444,676/136,545
  6. Step 6: Final answer
    x = 646,119.92

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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.