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Finding the Third Proportional to 117,134 and 255,470

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Solution

The third proportional to 117,134 and 255,470 is: 557,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,134 : 255,470 = 255,470 : x
  2. Step 2: Convert to fraction form
    117,134/255,470 = 255,470/x
  3. Step 3: Cross multiply
    117,134x = 255,470 × 255,470
  4. Step 4: Simplify right side
    117,134x = 65,264,920,900
  5. Step 5: Solve for x
    x = 65,264,920,900/117,134
  6. Step 6: Final answer
    x = 557,181.70

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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.