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Finding the Third Proportional to 199,762 and 429,169

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Solution

The third proportional to 199,762 and 429,169 is: 922,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,762 : 429,169 = 429,169 : x
  2. Step 2: Convert to fraction form
    199,762/429,169 = 429,169/x
  3. Step 3: Cross multiply
    199,762x = 429,169 × 429,169
  4. Step 4: Simplify right side
    199,762x = 184,186,030,561
  5. Step 5: Solve for x
    x = 184,186,030,561/199,762
  6. Step 6: Final answer
    x = 922,027.37

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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.