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Finding the Third Proportional to 175,323 and 248,080.50

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Solution

The third proportional to 175,323 and 248,080.50 is: 351,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,323 : 248,080.50 = 248,080.50 : x
  2. Step 2: Convert to fraction form
    175,323/248,080.50 = 248,080.50/x
  3. Step 3: Cross multiply
    175,323x = 248,080.50 × 248,080.50
  4. Step 4: Simplify right side
    175,323x = 61,543,934,480.25
  5. Step 5: Solve for x
    x = 61,543,934,480.25/175,323
  6. Step 6: Final answer
    x = 351,031.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.