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Finding the Third Proportional to 106,776 and 249,444

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Solution

The third proportional to 106,776 and 249,444 is: 582,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776 : 249,444 = 249,444 : x
  2. Step 2: Convert to fraction form
    106,776/249,444 = 249,444/x
  3. Step 3: Cross multiply
    106,776x = 249,444 × 249,444
  4. Step 4: Simplify right side
    106,776x = 62,222,309,136
  5. Step 5: Solve for x
    x = 62,222,309,136/106,776
  6. Step 6: Final answer
    x = 582,736.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.