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Finding the Third Proportional to 249,916 and 356,176

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Solution

The third proportional to 249,916 and 356,176 is: 507,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,916 : 356,176 = 356,176 : x
  2. Step 2: Convert to fraction form
    249,916/356,176 = 356,176/x
  3. Step 3: Cross multiply
    249,916x = 356,176 × 356,176
  4. Step 4: Simplify right side
    249,916x = 126,861,342,976
  5. Step 5: Solve for x
    x = 126,861,342,976/249,916
  6. Step 6: Final answer
    x = 507,615.93

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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.