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Finding the Third Proportional to 347.50 and 645.50

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Solution

The third proportional to 347.50 and 645.50 is: 1,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.50 : 645.50 = 645.50 : x
  2. Step 2: Convert to fraction form
    347.50/645.50 = 645.50/x
  3. Step 3: Cross multiply
    347.50x = 645.50 × 645.50
  4. Step 4: Simplify right side
    347.50x = 416,670.25
  5. Step 5: Solve for x
    x = 416,670.25/347.50
  6. Step 6: Final answer
    x = 1,199.05

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.