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Finding the Third Proportional to 175,162.50 and 249,618.75

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Solution

The third proportional to 175,162.50 and 249,618.75 is: 355,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,162.50 : 249,618.75 = 249,618.75 : x
  2. Step 2: Convert to fraction form
    175,162.50/249,618.75 = 249,618.75/x
  3. Step 3: Cross multiply
    175,162.50x = 249,618.75 × 249,618.75
  4. Step 4: Simplify right side
    175,162.50x = 62,309,520,351.56
  5. Step 5: Solve for x
    x = 62,309,520,351.56/175,162.50
  6. Step 6: Final answer
    x = 355,724.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.