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Finding the Third Proportional to 157,763.25 and 212,574.38

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Solution

The third proportional to 157,763.25 and 212,574.38 is: 286,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,763.25 : 212,574.38 = 212,574.38 : x
  2. Step 2: Convert to fraction form
    157,763.25/212,574.38 = 212,574.38/x
  3. Step 3: Cross multiply
    157,763.25x = 212,574.38 × 212,574.38
  4. Step 4: Simplify right side
    157,763.25x = 45,187,864,906.64
  5. Step 5: Solve for x
    x = 45,187,864,906.64/157,763.25
  6. Step 6: Final answer
    x = 286,428.33

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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.