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Finding the Third Proportional to 228,100 and 549,514

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Solution

The third proportional to 228,100 and 549,514 is: 1,323,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,100 : 549,514 = 549,514 : x
  2. Step 2: Convert to fraction form
    228,100/549,514 = 549,514/x
  3. Step 3: Cross multiply
    228,100x = 549,514 × 549,514
  4. Step 4: Simplify right side
    228,100x = 301,965,636,196
  5. Step 5: Solve for x
    x = 301,965,636,196/228,100
  6. Step 6: Final answer
    x = 1,323,830.06

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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.