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Finding the Third Proportional to 175,156.50 and 224,599.50

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Solution

The third proportional to 175,156.50 and 224,599.50 is: 287,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,156.50 : 224,599.50 = 224,599.50 : x
  2. Step 2: Convert to fraction form
    175,156.50/224,599.50 = 224,599.50/x
  3. Step 3: Cross multiply
    175,156.50x = 224,599.50 × 224,599.50
  4. Step 4: Simplify right side
    175,156.50x = 50,444,935,400.25
  5. Step 5: Solve for x
    x = 50,444,935,400.25/175,156.50
  6. Step 6: Final answer
    x = 287,999.22

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.