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Finding the Third Proportional to 153,852 and 333,948

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Solution

The third proportional to 153,852 and 333,948 is: 724,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,852 : 333,948 = 333,948 : x
  2. Step 2: Convert to fraction form
    153,852/333,948 = 333,948/x
  3. Step 3: Cross multiply
    153,852x = 333,948 × 333,948
  4. Step 4: Simplify right side
    153,852x = 111,521,266,704
  5. Step 5: Solve for x
    x = 111,521,266,704/153,852
  6. Step 6: Final answer
    x = 724,860.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.