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Finding the Third Proportional to 208,136 and 490,772

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Solution

The third proportional to 208,136 and 490,772 is: 1,157,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,136 : 490,772 = 490,772 : x
  2. Step 2: Convert to fraction form
    208,136/490,772 = 490,772/x
  3. Step 3: Cross multiply
    208,136x = 490,772 × 490,772
  4. Step 4: Simplify right side
    208,136x = 240,857,155,984
  5. Step 5: Solve for x
    x = 240,857,155,984/208,136
  6. Step 6: Final answer
    x = 1,157,210.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.