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Finding the Third Proportional to 249,059.75 and 389,141.75

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Solution

The third proportional to 249,059.75 and 389,141.75 is: 608,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,059.75 : 389,141.75 = 389,141.75 : x
  2. Step 2: Convert to fraction form
    249,059.75/389,141.75 = 389,141.75/x
  3. Step 3: Cross multiply
    249,059.75x = 389,141.75 × 389,141.75
  4. Step 4: Simplify right side
    249,059.75x = 151,431,301,593.06
  5. Step 5: Solve for x
    x = 151,431,301,593.06/249,059.75
  6. Step 6: Final answer
    x = 608,011.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.