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Finding the Third Proportional to 249,684.75 and 353,298.38

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Solution

The third proportional to 249,684.75 and 353,298.38 is: 499,909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,684.75 : 353,298.38 = 353,298.38 : x
  2. Step 2: Convert to fraction form
    249,684.75/353,298.38 = 353,298.38/x
  3. Step 3: Cross multiply
    249,684.75x = 353,298.38 × 353,298.38
  4. Step 4: Simplify right side
    249,684.75x = 124,819,741,777.64
  5. Step 5: Solve for x
    x = 124,819,741,777.64/249,684.75
  6. Step 6: Final answer
    x = 499,909.35

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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.