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Finding the Third Proportional to 228,152 and 549,644

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Solution

The third proportional to 228,152 and 549,644 is: 1,324,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,152 : 549,644 = 549,644 : x
  2. Step 2: Convert to fraction form
    228,152/549,644 = 549,644/x
  3. Step 3: Cross multiply
    228,152x = 549,644 × 549,644
  4. Step 4: Simplify right side
    228,152x = 302,108,526,736
  5. Step 5: Solve for x
    x = 302,108,526,736/228,152
  6. Step 6: Final answer
    x = 1,324,154.63

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.