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Finding the Third Proportional to 224,750.25 and 316,152

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Solution

The third proportional to 224,750.25 and 316,152 is: 444,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,750.25 : 316,152 = 316,152 : x
  2. Step 2: Convert to fraction form
    224,750.25/316,152 = 316,152/x
  3. Step 3: Cross multiply
    224,750.25x = 316,152 × 316,152
  4. Step 4: Simplify right side
    224,750.25x = 99,952,087,104
  5. Step 5: Solve for x
    x = 99,952,087,104/224,750.25
  6. Step 6: Final answer
    x = 444,725.14

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Why These Related Problems?

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