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Finding the Third Proportional to 157,715.44 and 346,971.94

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Solution

The third proportional to 157,715.44 and 346,971.94 is: 763,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,715.44 : 346,971.94 = 346,971.94 : x
  2. Step 2: Convert to fraction form
    157,715.44/346,971.94 = 346,971.94/x
  3. Step 3: Cross multiply
    157,715.44x = 346,971.94 × 346,971.94
  4. Step 4: Simplify right side
    157,715.44x = 120,389,525,412.50
  5. Step 5: Solve for x
    x = 120,389,525,412.50/157,715.44
  6. Step 6: Final answer
    x = 763,333.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.