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Finding the Third Proportional to 164,578 and 249,175

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Solution

The third proportional to 164,578 and 249,175 is: 377,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,578 : 249,175 = 249,175 : x
  2. Step 2: Convert to fraction form
    164,578/249,175 = 249,175/x
  3. Step 3: Cross multiply
    164,578x = 249,175 × 249,175
  4. Step 4: Simplify right side
    164,578x = 62,088,180,625
  5. Step 5: Solve for x
    x = 62,088,180,625/164,578
  6. Step 6: Final answer
    x = 377,256.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.