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Finding the Third Proportional to 155,436 and 278,889

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Solution

The third proportional to 155,436 and 278,889 is: 500,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,436 : 278,889 = 278,889 : x
  2. Step 2: Convert to fraction form
    155,436/278,889 = 278,889/x
  3. Step 3: Cross multiply
    155,436x = 278,889 × 278,889
  4. Step 4: Simplify right side
    155,436x = 77,779,074,321
  5. Step 5: Solve for x
    x = 77,779,074,321/155,436
  6. Step 6: Final answer
    x = 500,392.92

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.