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Finding the Third Proportional to 241,854 and 525,136

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Solution

The third proportional to 241,854 and 525,136 is: 1,140,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,854 : 525,136 = 525,136 : x
  2. Step 2: Convert to fraction form
    241,854/525,136 = 525,136/x
  3. Step 3: Cross multiply
    241,854x = 525,136 × 525,136
  4. Step 4: Simplify right side
    241,854x = 275,767,818,496
  5. Step 5: Solve for x
    x = 275,767,818,496/241,854
  6. Step 6: Final answer
    x = 1,140,224.34

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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.