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Finding the Third Proportional to 114,711 and 250,158

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Solution

The third proportional to 114,711 and 250,158 is: 545,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,711 : 250,158 = 250,158 : x
  2. Step 2: Convert to fraction form
    114,711/250,158 = 250,158/x
  3. Step 3: Cross multiply
    114,711x = 250,158 × 250,158
  4. Step 4: Simplify right side
    114,711x = 62,579,024,964
  5. Step 5: Solve for x
    x = 62,579,024,964/114,711
  6. Step 6: Final answer
    x = 545,536.39

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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.