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Finding the Third Proportional to 136,546 and 297,028

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Solution

The third proportional to 136,546 and 297,028 is: 646,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,546 : 297,028 = 297,028 : x
  2. Step 2: Convert to fraction form
    136,546/297,028 = 297,028/x
  3. Step 3: Cross multiply
    136,546x = 297,028 × 297,028
  4. Step 4: Simplify right side
    136,546x = 88,225,632,784
  5. Step 5: Solve for x
    x = 88,225,632,784/136,546
  6. Step 6: Final answer
    x = 646,123.89

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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.