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Finding the Third Proportional to 183,410 and 401,810

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Solution

The third proportional to 183,410 and 401,810 is: 880,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,410 : 401,810 = 401,810 : x
  2. Step 2: Convert to fraction form
    183,410/401,810 = 401,810/x
  3. Step 3: Cross multiply
    183,410x = 401,810 × 401,810
  4. Step 4: Simplify right side
    183,410x = 161,451,276,100
  5. Step 5: Solve for x
    x = 161,451,276,100/183,410
  6. Step 6: Final answer
    x = 880,275.21

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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.