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Finding the Third Proportional to 153,576 and 236,922

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Solution

The third proportional to 153,576 and 236,922 is: 365,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,576 : 236,922 = 236,922 : x
  2. Step 2: Convert to fraction form
    153,576/236,922 = 236,922/x
  3. Step 3: Cross multiply
    153,576x = 236,922 × 236,922
  4. Step 4: Simplify right side
    153,576x = 56,132,034,084
  5. Step 5: Solve for x
    x = 56,132,034,084/153,576
  6. Step 6: Final answer
    x = 365,500.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.