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Finding the Third Proportional to 176,285 and 257,043

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Solution

The third proportional to 176,285 and 257,043 is: 374,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,285 : 257,043 = 257,043 : x
  2. Step 2: Convert to fraction form
    176,285/257,043 = 257,043/x
  3. Step 3: Cross multiply
    176,285x = 257,043 × 257,043
  4. Step 4: Simplify right side
    176,285x = 66,071,103,849
  5. Step 5: Solve for x
    x = 66,071,103,849/176,285
  6. Step 6: Final answer
    x = 374,797.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.