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Finding the Third Proportional to 228,154 and 549,649

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Solution

The third proportional to 228,154 and 549,649 is: 1,324,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,154 : 549,649 = 549,649 : x
  2. Step 2: Convert to fraction form
    228,154/549,649 = 549,649/x
  3. Step 3: Cross multiply
    228,154x = 549,649 × 549,649
  4. Step 4: Simplify right side
    228,154x = 302,114,023,201
  5. Step 5: Solve for x
    x = 302,114,023,201/228,154
  6. Step 6: Final answer
    x = 1,324,167.11

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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.