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Finding the Third Proportional to 162,030 and 353,112

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Solution

The third proportional to 162,030 and 353,112 is: 769,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,030 : 353,112 = 353,112 : x
  2. Step 2: Convert to fraction form
    162,030/353,112 = 353,112/x
  3. Step 3: Cross multiply
    162,030x = 353,112 × 353,112
  4. Step 4: Simplify right side
    162,030x = 124,688,084,544
  5. Step 5: Solve for x
    x = 124,688,084,544/162,030
  6. Step 6: Final answer
    x = 769,537.03

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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.