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Finding the Third Proportional to 133,448.63 and 291,521.25

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Solution

The third proportional to 133,448.63 and 291,521.25 is: 636,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,448.63 : 291,521.25 = 291,521.25 : x
  2. Step 2: Convert to fraction form
    133,448.63/291,521.25 = 291,521.25/x
  3. Step 3: Cross multiply
    133,448.63x = 291,521.25 × 291,521.25
  4. Step 4: Simplify right side
    133,448.63x = 84,984,639,201.56
  5. Step 5: Solve for x
    x = 84,984,639,201.56/133,448.63
  6. Step 6: Final answer
    x = 636,834.13

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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.