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Finding the Third Proportional to 185,064 and 278,964

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Solution

The third proportional to 185,064 and 278,964 is: 420,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,064 : 278,964 = 278,964 : x
  2. Step 2: Convert to fraction form
    185,064/278,964 = 278,964/x
  3. Step 3: Cross multiply
    185,064x = 278,964 × 278,964
  4. Step 4: Simplify right side
    185,064x = 77,820,913,296
  5. Step 5: Solve for x
    x = 77,820,913,296/185,064
  6. Step 6: Final answer
    x = 420,508.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.