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Finding the Third Proportional to 255,152 and 559,147

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Solution

The third proportional to 255,152 and 559,147 is: 1,225,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,152 : 559,147 = 559,147 : x
  2. Step 2: Convert to fraction form
    255,152/559,147 = 559,147/x
  3. Step 3: Cross multiply
    255,152x = 559,147 × 559,147
  4. Step 4: Simplify right side
    255,152x = 312,645,367,609
  5. Step 5: Solve for x
    x = 312,645,367,609/255,152
  6. Step 6: Final answer
    x = 1,225,329.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.