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Finding the Third Proportional to 183,397 and 401,786

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Solution

The third proportional to 183,397 and 401,786 is: 880,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,397 : 401,786 = 401,786 : x
  2. Step 2: Convert to fraction form
    183,397/401,786 = 401,786/x
  3. Step 3: Cross multiply
    183,397x = 401,786 × 401,786
  4. Step 4: Simplify right side
    183,397x = 161,431,989,796
  5. Step 5: Solve for x
    x = 161,431,989,796/183,397
  6. Step 6: Final answer
    x = 880,232.45

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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.