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Finding the Third Proportional to 163,916 and 249,275

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Solution

The third proportional to 163,916 and 249,275 is: 379,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,916 : 249,275 = 249,275 : x
  2. Step 2: Convert to fraction form
    163,916/249,275 = 249,275/x
  3. Step 3: Cross multiply
    163,916x = 249,275 × 249,275
  4. Step 4: Simplify right side
    163,916x = 62,138,025,625
  5. Step 5: Solve for x
    x = 62,138,025,625/163,916
  6. Step 6: Final answer
    x = 379,084.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.