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Finding the Third Proportional to 249,659.72 and 353,263.15

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Solution

The third proportional to 249,659.72 and 353,263.15 is: 499,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,659.72 : 353,263.15 = 353,263.15 : x
  2. Step 2: Convert to fraction form
    249,659.72/353,263.15 = 353,263.15/x
  3. Step 3: Cross multiply
    249,659.72x = 353,263.15 × 353,263.15
  4. Step 4: Simplify right side
    249,659.72x = 124,794,852,043.98
  5. Step 5: Solve for x
    x = 124,794,852,043.98/249,659.72
  6. Step 6: Final answer
    x = 499,859.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.