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Finding the Third Proportional to 152,699 and 332,506

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Solution

The third proportional to 152,699 and 332,506 is: 724,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,699 : 332,506 = 332,506 : x
  2. Step 2: Convert to fraction form
    152,699/332,506 = 332,506/x
  3. Step 3: Cross multiply
    152,699x = 332,506 × 332,506
  4. Step 4: Simplify right side
    152,699x = 110,560,240,036
  5. Step 5: Solve for x
    x = 110,560,240,036/152,699
  6. Step 6: Final answer
    x = 724,040.37

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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.