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Finding the Third Proportional to 157,825 and 212,640

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Solution

The third proportional to 157,825 and 212,640 is: 286,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,825 : 212,640 = 212,640 : x
  2. Step 2: Convert to fraction form
    157,825/212,640 = 212,640/x
  3. Step 3: Cross multiply
    157,825x = 212,640 × 212,640
  4. Step 4: Simplify right side
    157,825x = 45,215,769,600
  5. Step 5: Solve for x
    x = 45,215,769,600/157,825
  6. Step 6: Final answer
    x = 286,493.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.