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Finding the Third Proportional to 186,361 and 409,332

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Solution

The third proportional to 186,361 and 409,332 is: 899,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,361 : 409,332 = 409,332 : x
  2. Step 2: Convert to fraction form
    186,361/409,332 = 409,332/x
  3. Step 3: Cross multiply
    186,361x = 409,332 × 409,332
  4. Step 4: Simplify right side
    186,361x = 167,552,686,224
  5. Step 5: Solve for x
    x = 167,552,686,224/186,361
  6. Step 6: Final answer
    x = 899,075.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.