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Finding the Third Proportional to 249,063.75 and 393,763.50

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Solution

The third proportional to 249,063.75 and 393,763.50 is: 622,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,063.75 : 393,763.50 = 393,763.50 : x
  2. Step 2: Convert to fraction form
    249,063.75/393,763.50 = 393,763.50/x
  3. Step 3: Cross multiply
    249,063.75x = 393,763.50 × 393,763.50
  4. Step 4: Simplify right side
    249,063.75x = 155,049,693,932.25
  5. Step 5: Solve for x
    x = 155,049,693,932.25/249,063.75
  6. Step 6: Final answer
    x = 622,530.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.