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Finding the Third Proportional to 183,394 and 401,780

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Solution

The third proportional to 183,394 and 401,780 is: 880,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,394 : 401,780 = 401,780 : x
  2. Step 2: Convert to fraction form
    183,394/401,780 = 401,780/x
  3. Step 3: Cross multiply
    183,394x = 401,780 × 401,780
  4. Step 4: Simplify right side
    183,394x = 161,427,168,400
  5. Step 5: Solve for x
    x = 161,427,168,400/183,394
  6. Step 6: Final answer
    x = 880,220.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.