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Finding the Third Proportional to 134,148 and 291,592

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Solution

The third proportional to 134,148 and 291,592 is: 633,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,148 : 291,592 = 291,592 : x
  2. Step 2: Convert to fraction form
    134,148/291,592 = 291,592/x
  3. Step 3: Cross multiply
    134,148x = 291,592 × 291,592
  4. Step 4: Simplify right side
    134,148x = 85,025,894,464
  5. Step 5: Solve for x
    x = 85,025,894,464/134,148
  6. Step 6: Final answer
    x = 633,821.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.