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Finding the Third Proportional to 224,520 and 348,619.50

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Solution

The third proportional to 224,520 and 348,619.50 is: 541,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,520 : 348,619.50 = 348,619.50 : x
  2. Step 2: Convert to fraction form
    224,520/348,619.50 = 348,619.50/x
  3. Step 3: Cross multiply
    224,520x = 348,619.50 × 348,619.50
  4. Step 4: Simplify right side
    224,520x = 121,535,555,780.25
  5. Step 5: Solve for x
    x = 121,535,555,780.25/224,520
  6. Step 6: Final answer
    x = 541,312.83

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