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Finding the Third Proportional to 183,438 and 401,614

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Solution

The third proportional to 183,438 and 401,614 is: 879,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,438 : 401,614 = 401,614 : x
  2. Step 2: Convert to fraction form
    183,438/401,614 = 401,614/x
  3. Step 3: Cross multiply
    183,438x = 401,614 × 401,614
  4. Step 4: Simplify right side
    183,438x = 161,293,804,996
  5. Step 5: Solve for x
    x = 161,293,804,996/183,438
  6. Step 6: Final answer
    x = 879,282.40

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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.