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Finding the Third Proportional to 236,258 and 341,139

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Solution

The third proportional to 236,258 and 341,139 is: 492,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,258 : 341,139 = 341,139 : x
  2. Step 2: Convert to fraction form
    236,258/341,139 = 341,139/x
  3. Step 3: Cross multiply
    236,258x = 341,139 × 341,139
  4. Step 4: Simplify right side
    236,258x = 116,375,817,321
  5. Step 5: Solve for x
    x = 116,375,817,321/236,258
  6. Step 6: Final answer
    x = 492,579.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.