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Finding the Third Proportional to 129,258 and 273,418

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Solution

The third proportional to 129,258 and 273,418 is: 578,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,258 : 273,418 = 273,418 : x
  2. Step 2: Convert to fraction form
    129,258/273,418 = 273,418/x
  3. Step 3: Cross multiply
    129,258x = 273,418 × 273,418
  4. Step 4: Simplify right side
    129,258x = 74,757,402,724
  5. Step 5: Solve for x
    x = 74,757,402,724/129,258
  6. Step 6: Final answer
    x = 578,358.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.