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Finding the Third Proportional to 349,818 and 540,186.75

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Solution

The third proportional to 349,818 and 540,186.75 is: 834,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,818 : 540,186.75 = 540,186.75 : x
  2. Step 2: Convert to fraction form
    349,818/540,186.75 = 540,186.75/x
  3. Step 3: Cross multiply
    349,818x = 540,186.75 × 540,186.75
  4. Step 4: Simplify right side
    349,818x = 291,801,724,875.56
  5. Step 5: Solve for x
    x = 291,801,724,875.56/349,818
  6. Step 6: Final answer
    x = 834,152.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.