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Finding the Third Proportional to 175,097 and 256,435

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Solution

The third proportional to 175,097 and 256,435 is: 375,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,097 : 256,435 = 256,435 : x
  2. Step 2: Convert to fraction form
    175,097/256,435 = 256,435/x
  3. Step 3: Cross multiply
    175,097x = 256,435 × 256,435
  4. Step 4: Simplify right side
    175,097x = 65,758,909,225
  5. Step 5: Solve for x
    x = 65,758,909,225/175,097
  6. Step 6: Final answer
    x = 375,557.03

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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.