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Finding the Third Proportional to 265,132 and 401,556

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Solution

The third proportional to 265,132 and 401,556 is: 608,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,132 : 401,556 = 401,556 : x
  2. Step 2: Convert to fraction form
    265,132/401,556 = 401,556/x
  3. Step 3: Cross multiply
    265,132x = 401,556 × 401,556
  4. Step 4: Simplify right side
    265,132x = 161,247,221,136
  5. Step 5: Solve for x
    x = 161,247,221,136/265,132
  6. Step 6: Final answer
    x = 608,177.14

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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.