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Finding the Third Proportional to 230,762.67 and 349,225.17

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Solution

The third proportional to 230,762.67 and 349,225.17 is: 528,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,762.67 : 349,225.17 = 349,225.17 : x
  2. Step 2: Convert to fraction form
    230,762.67/349,225.17 = 349,225.17/x
  3. Step 3: Cross multiply
    230,762.67x = 349,225.17 × 349,225.17
  4. Step 4: Simplify right side
    230,762.67x = 121,958,220,671.12
  5. Step 5: Solve for x
    x = 121,958,220,671.12/230,762.67
  6. Step 6: Final answer
    x = 528,500.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.