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Finding the Third Proportional to 78,202 and 184,566

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Solution

The third proportional to 78,202 and 184,566 is: 435,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202 : 184,566 = 184,566 : x
  2. Step 2: Convert to fraction form
    78,202/184,566 = 184,566/x
  3. Step 3: Cross multiply
    78,202x = 184,566 × 184,566
  4. Step 4: Simplify right side
    78,202x = 34,064,608,356
  5. Step 5: Solve for x
    x = 34,064,608,356/78,202
  6. Step 6: Final answer
    x = 435,597.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.