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Finding the Third Proportional to 175,098 and 254,992.50

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Solution

The third proportional to 175,098 and 254,992.50 is: 371,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,098 : 254,992.50 = 254,992.50 : x
  2. Step 2: Convert to fraction form
    175,098/254,992.50 = 254,992.50/x
  3. Step 3: Cross multiply
    175,098x = 254,992.50 × 254,992.50
  4. Step 4: Simplify right side
    175,098x = 65,021,175,056.25
  5. Step 5: Solve for x
    x = 65,021,175,056.25/175,098
  6. Step 6: Final answer
    x = 371,341.62

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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.