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Finding the Third Proportional to 175,072.50 and 254,953.50

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Solution

The third proportional to 175,072.50 and 254,953.50 is: 371,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,072.50 : 254,953.50 = 254,953.50 : x
  2. Step 2: Convert to fraction form
    175,072.50/254,953.50 = 254,953.50/x
  3. Step 3: Cross multiply
    175,072.50x = 254,953.50 × 254,953.50
  4. Step 4: Simplify right side
    175,072.50x = 65,001,287,162.25
  5. Step 5: Solve for x
    x = 65,001,287,162.25/175,072.50
  6. Step 6: Final answer
    x = 371,282.11

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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.