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Finding the Third Proportional to 219,020 and 316,500

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Solution

The third proportional to 219,020 and 316,500 is: 457,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,020 : 316,500 = 316,500 : x
  2. Step 2: Convert to fraction form
    219,020/316,500 = 316,500/x
  3. Step 3: Cross multiply
    219,020x = 316,500 × 316,500
  4. Step 4: Simplify right side
    219,020x = 100,172,250,000
  5. Step 5: Solve for x
    x = 100,172,250,000/219,020
  6. Step 6: Final answer
    x = 457,365.77

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.