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Finding the Third Proportional to 265,152 and 401,592

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Solution

The third proportional to 265,152 and 401,592 is: 608,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,152 : 401,592 = 401,592 : x
  2. Step 2: Convert to fraction form
    265,152/401,592 = 401,592/x
  3. Step 3: Cross multiply
    265,152x = 401,592 × 401,592
  4. Step 4: Simplify right side
    265,152x = 161,276,134,464
  5. Step 5: Solve for x
    x = 161,276,134,464/265,152
  6. Step 6: Final answer
    x = 608,240.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.