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Finding the Third Proportional to 251,860.50 and 349,074

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Solution

The third proportional to 251,860.50 and 349,074 is: 483,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,860.50 : 349,074 = 349,074 : x
  2. Step 2: Convert to fraction form
    251,860.50/349,074 = 349,074/x
  3. Step 3: Cross multiply
    251,860.50x = 349,074 × 349,074
  4. Step 4: Simplify right side
    251,860.50x = 121,852,657,476
  5. Step 5: Solve for x
    x = 121,852,657,476/251,860.50
  6. Step 6: Final answer
    x = 483,810.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.