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Finding the Third Proportional to 249,914 and 356,173

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Solution

The third proportional to 249,914 and 356,173 is: 507,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,914 : 356,173 = 356,173 : x
  2. Step 2: Convert to fraction form
    249,914/356,173 = 356,173/x
  3. Step 3: Cross multiply
    249,914x = 356,173 × 356,173
  4. Step 4: Simplify right side
    249,914x = 126,859,205,929
  5. Step 5: Solve for x
    x = 126,859,205,929/249,914
  6. Step 6: Final answer
    x = 507,611.44

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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.