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Finding the Third Proportional to 170,146 and 253,560

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Solution

The third proportional to 170,146 and 253,560 is: 377,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,146 : 253,560 = 253,560 : x
  2. Step 2: Convert to fraction form
    170,146/253,560 = 253,560/x
  3. Step 3: Cross multiply
    170,146x = 253,560 × 253,560
  4. Step 4: Simplify right side
    170,146x = 64,292,673,600
  5. Step 5: Solve for x
    x = 64,292,673,600/170,146
  6. Step 6: Final answer
    x = 377,867.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.