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Finding the Third Proportional to 157,716.14 and 346,972.78

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Solution

The third proportional to 157,716.14 and 346,972.78 is: 763,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,716.14 : 346,972.78 = 346,972.78 : x
  2. Step 2: Convert to fraction form
    157,716.14/346,972.78 = 346,972.78/x
  3. Step 3: Cross multiply
    157,716.14x = 346,972.78 × 346,972.78
  4. Step 4: Simplify right side
    157,716.14x = 120,390,110,928.36
  5. Step 5: Solve for x
    x = 120,390,110,928.36/157,716.14
  6. Step 6: Final answer
    x = 763,334.12

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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.