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Finding the Third Proportional to 227,925 and 353,835

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Solution

The third proportional to 227,925 and 353,835 is: 549,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,925 : 353,835 = 353,835 : x
  2. Step 2: Convert to fraction form
    227,925/353,835 = 353,835/x
  3. Step 3: Cross multiply
    227,925x = 353,835 × 353,835
  4. Step 4: Simplify right side
    227,925x = 125,199,207,225
  5. Step 5: Solve for x
    x = 125,199,207,225/227,925
  6. Step 6: Final answer
    x = 549,300.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.