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Finding the Third Proportional to 255,134 and 556,900

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Solution

The third proportional to 255,134 and 556,900 is: 1,215,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,134 : 556,900 = 556,900 : x
  2. Step 2: Convert to fraction form
    255,134/556,900 = 556,900/x
  3. Step 3: Cross multiply
    255,134x = 556,900 × 556,900
  4. Step 4: Simplify right side
    255,134x = 310,137,610,000
  5. Step 5: Solve for x
    x = 310,137,610,000/255,134
  6. Step 6: Final answer
    x = 1,215,587.14

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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.