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Finding the Third Proportional to 224,964.84 and 316,442.53

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Solution

The third proportional to 224,964.84 and 316,442.53 is: 445,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,964.84 : 316,442.53 = 316,442.53 : x
  2. Step 2: Convert to fraction form
    224,964.84/316,442.53 = 316,442.53/x
  3. Step 3: Cross multiply
    224,964.84x = 316,442.53 × 316,442.53
  4. Step 4: Simplify right side
    224,964.84x = 100,135,875,583.91
  5. Step 5: Solve for x
    x = 100,135,875,583.91/224,964.84
  6. Step 6: Final answer
    x = 445,117.89

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.