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Finding the Third Proportional to 199,762.25 and 429,170

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Solution

The third proportional to 199,762.25 and 429,170 is: 922,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,762.25 : 429,170 = 429,170 : x
  2. Step 2: Convert to fraction form
    199,762.25/429,170 = 429,170/x
  3. Step 3: Cross multiply
    199,762.25x = 429,170 × 429,170
  4. Step 4: Simplify right side
    199,762.25x = 184,186,888,900
  5. Step 5: Solve for x
    x = 184,186,888,900/199,762.25
  6. Step 6: Final answer
    x = 922,030.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.