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Finding the Third Proportional to 241,602.75 and 355,007.81

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Solution

The third proportional to 241,602.75 and 355,007.81 is: 521,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,602.75 : 355,007.81 = 355,007.81 : x
  2. Step 2: Convert to fraction form
    241,602.75/355,007.81 = 355,007.81/x
  3. Step 3: Cross multiply
    241,602.75x = 355,007.81 × 355,007.81
  4. Step 4: Simplify right side
    241,602.75x = 126,030,546,936.04
  5. Step 5: Solve for x
    x = 126,030,546,936.04/241,602.75
  6. Step 6: Final answer
    x = 521,643.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.