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Finding the Third Proportional to 249,531.75 and 353,073.38

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Solution

The third proportional to 249,531.75 and 353,073.38 is: 499,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,531.75 : 353,073.38 = 353,073.38 : x
  2. Step 2: Convert to fraction form
    249,531.75/353,073.38 = 353,073.38/x
  3. Step 3: Cross multiply
    249,531.75x = 353,073.38 × 353,073.38
  4. Step 4: Simplify right side
    249,531.75x = 124,660,808,133.89
  5. Step 5: Solve for x
    x = 124,660,808,133.89/249,531.75
  6. Step 6: Final answer
    x = 499,578.94

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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.