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Finding the Third Proportional to 255,184 and 554,600

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Solution

The third proportional to 255,184 and 554,600 is: 1,205,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,184 : 554,600 = 554,600 : x
  2. Step 2: Convert to fraction form
    255,184/554,600 = 554,600/x
  3. Step 3: Cross multiply
    255,184x = 554,600 × 554,600
  4. Step 4: Simplify right side
    255,184x = 307,581,160,000
  5. Step 5: Solve for x
    x = 307,581,160,000/255,184
  6. Step 6: Final answer
    x = 1,205,330.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.