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Finding the Third Proportional to 249,665.63 and 539,237.25

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Solution

The third proportional to 249,665.63 and 539,237.25 is: 1,164,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,665.63 : 539,237.25 = 539,237.25 : x
  2. Step 2: Convert to fraction form
    249,665.63/539,237.25 = 539,237.25/x
  3. Step 3: Cross multiply
    249,665.63x = 539,237.25 × 539,237.25
  4. Step 4: Simplify right side
    249,665.63x = 290,776,811,787.56
  5. Step 5: Solve for x
    x = 290,776,811,787.56/249,665.63
  6. Step 6: Final answer
    x = 1,164,664.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.