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Finding the Third Proportional to 180,465 and 252,309

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Solution

The third proportional to 180,465 and 252,309 is: 352,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,465 : 252,309 = 252,309 : x
  2. Step 2: Convert to fraction form
    180,465/252,309 = 252,309/x
  3. Step 3: Cross multiply
    180,465x = 252,309 × 252,309
  4. Step 4: Simplify right side
    180,465x = 63,659,831,481
  5. Step 5: Solve for x
    x = 63,659,831,481/180,465
  6. Step 6: Final answer
    x = 352,754.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.