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Finding the Third Proportional to 170,293 and 257,797.50

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Solution

The third proportional to 170,293 and 257,797.50 is: 390,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,293 : 257,797.50 = 257,797.50 : x
  2. Step 2: Convert to fraction form
    170,293/257,797.50 = 257,797.50/x
  3. Step 3: Cross multiply
    170,293x = 257,797.50 × 257,797.50
  4. Step 4: Simplify right side
    170,293x = 66,459,551,006.25
  5. Step 5: Solve for x
    x = 66,459,551,006.25/170,293
  6. Step 6: Final answer
    x = 390,265.90

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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.