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Finding the Third Proportional to 165,660.75 and 249,872.06

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Solution

The third proportional to 165,660.75 and 249,872.06 is: 376,891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,660.75 : 249,872.06 = 249,872.06 : x
  2. Step 2: Convert to fraction form
    165,660.75/249,872.06 = 249,872.06/x
  3. Step 3: Cross multiply
    165,660.75x = 249,872.06 × 249,872.06
  4. Step 4: Simplify right side
    165,660.75x = 62,436,047,618.00
  5. Step 5: Solve for x
    x = 62,436,047,618.00/165,660.75
  6. Step 6: Final answer
    x = 376,891.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.