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Finding the Third Proportional to 241,584 and 355,276

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Solution

The third proportional to 241,584 and 355,276 is: 522,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,584 : 355,276 = 355,276 : x
  2. Step 2: Convert to fraction form
    241,584/355,276 = 355,276/x
  3. Step 3: Cross multiply
    241,584x = 355,276 × 355,276
  4. Step 4: Simplify right side
    241,584x = 126,221,036,176
  5. Step 5: Solve for x
    x = 126,221,036,176/241,584
  6. Step 6: Final answer
    x = 522,472.66

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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.