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Finding the Third Proportional to 163,470 and 219,244.50

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Solution

The third proportional to 163,470 and 219,244.50 is: 294,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,470 : 219,244.50 = 219,244.50 : x
  2. Step 2: Convert to fraction form
    163,470/219,244.50 = 219,244.50/x
  3. Step 3: Cross multiply
    163,470x = 219,244.50 × 219,244.50
  4. Step 4: Simplify right side
    163,470x = 48,068,150,780.25
  5. Step 5: Solve for x
    x = 48,068,150,780.25/163,470
  6. Step 6: Final answer
    x = 294,048.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.