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Finding the Third Proportional to 185,006 and 278,319

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Solution

The third proportional to 185,006 and 278,319 is: 418,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,006 : 278,319 = 278,319 : x
  2. Step 2: Convert to fraction form
    185,006/278,319 = 278,319/x
  3. Step 3: Cross multiply
    185,006x = 278,319 × 278,319
  4. Step 4: Simplify right side
    185,006x = 77,461,465,761
  5. Step 5: Solve for x
    x = 77,461,465,761/185,006
  6. Step 6: Final answer
    x = 418,697.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.