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Finding the Third Proportional to 132,030 and 288,144

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Solution

The third proportional to 132,030 and 288,144 is: 628,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030 : 288,144 = 288,144 : x
  2. Step 2: Convert to fraction form
    132,030/288,144 = 288,144/x
  3. Step 3: Cross multiply
    132,030x = 288,144 × 288,144
  4. Step 4: Simplify right side
    132,030x = 83,026,964,736
  5. Step 5: Solve for x
    x = 83,026,964,736/132,030
  6. Step 6: Final answer
    x = 628,849.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.