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Finding the Third Proportional to 157,904.44 and 345,333.38

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Solution

The third proportional to 157,904.44 and 345,333.38 is: 755,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,904.44 : 345,333.38 = 345,333.38 : x
  2. Step 2: Convert to fraction form
    157,904.44/345,333.38 = 345,333.38/x
  3. Step 3: Cross multiply
    157,904.44x = 345,333.38 × 345,333.38
  4. Step 4: Simplify right side
    157,904.44x = 119,255,139,888.89
  5. Step 5: Solve for x
    x = 119,255,139,888.89/157,904.44
  6. Step 6: Final answer
    x = 755,236.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.