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Finding the Third Proportional to 248,064.75 and 349,341.75

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Solution

The third proportional to 248,064.75 and 349,341.75 is: 491,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,064.75 : 349,341.75 = 349,341.75 : x
  2. Step 2: Convert to fraction form
    248,064.75/349,341.75 = 349,341.75/x
  3. Step 3: Cross multiply
    248,064.75x = 349,341.75 × 349,341.75
  4. Step 4: Simplify right side
    248,064.75x = 122,039,658,293.06
  5. Step 5: Solve for x
    x = 122,039,658,293.06/248,064.75
  6. Step 6: Final answer
    x = 491,966.95

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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.