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Finding the Third Proportional to 228,047 and 353,141

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Solution

The third proportional to 228,047 and 353,141 is: 546,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047 : 353,141 = 353,141 : x
  2. Step 2: Convert to fraction form
    228,047/353,141 = 353,141/x
  3. Step 3: Cross multiply
    228,047x = 353,141 × 353,141
  4. Step 4: Simplify right side
    228,047x = 124,708,565,881
  5. Step 5: Solve for x
    x = 124,708,565,881/228,047
  6. Step 6: Final answer
    x = 546,854.67

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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.