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Finding the Third Proportional to 220,527 and 310,556.53

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Solution

The third proportional to 220,527 and 310,556.53 is: 437,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,527 : 310,556.53 = 310,556.53 : x
  2. Step 2: Convert to fraction form
    220,527/310,556.53 = 310,556.53/x
  3. Step 3: Cross multiply
    220,527x = 310,556.53 × 310,556.53
  4. Step 4: Simplify right side
    220,527x = 96,445,359,102.03
  5. Step 5: Solve for x
    x = 96,445,359,102.03/220,527
  6. Step 6: Final answer
    x = 437,340.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.