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Finding the Third Proportional to 129,454 and 276,897

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Solution

The third proportional to 129,454 and 276,897 is: 592,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,454 : 276,897 = 276,897 : x
  2. Step 2: Convert to fraction form
    129,454/276,897 = 276,897/x
  3. Step 3: Cross multiply
    129,454x = 276,897 × 276,897
  4. Step 4: Simplify right side
    129,454x = 76,671,948,609
  5. Step 5: Solve for x
    x = 76,671,948,609/129,454
  6. Step 6: Final answer
    x = 592,271.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.