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Finding the Third Proportional to 183,475.50 and 303,657.50

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Solution

The third proportional to 183,475.50 and 303,657.50 is: 502,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,475.50 : 303,657.50 = 303,657.50 : x
  2. Step 2: Convert to fraction form
    183,475.50/303,657.50 = 303,657.50/x
  3. Step 3: Cross multiply
    183,475.50x = 303,657.50 × 303,657.50
  4. Step 4: Simplify right side
    183,475.50x = 92,207,877,306.25
  5. Step 5: Solve for x
    x = 92,207,877,306.25/183,475.50
  6. Step 6: Final answer
    x = 502,562.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.