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Finding the Third Proportional to 224,513.50 and 480,158

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Solution

The third proportional to 224,513.50 and 480,158 is: 1,026,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,513.50 : 480,158 = 480,158 : x
  2. Step 2: Convert to fraction form
    224,513.50/480,158 = 480,158/x
  3. Step 3: Cross multiply
    224,513.50x = 480,158 × 480,158
  4. Step 4: Simplify right side
    224,513.50x = 230,551,704,964
  5. Step 5: Solve for x
    x = 230,551,704,964/224,513.50
  6. Step 6: Final answer
    x = 1,026,894.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.