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Finding the Third Proportional to 174,787.50 and 303,430.50

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Solution

The third proportional to 174,787.50 and 303,430.50 is: 526,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,787.50 : 303,430.50 = 303,430.50 : x
  2. Step 2: Convert to fraction form
    174,787.50/303,430.50 = 303,430.50/x
  3. Step 3: Cross multiply
    174,787.50x = 303,430.50 × 303,430.50
  4. Step 4: Simplify right side
    174,787.50x = 92,070,068,330.25
  5. Step 5: Solve for x
    x = 92,070,068,330.25/174,787.50
  6. Step 6: Final answer
    x = 526,754.31

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.