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Finding the Third Proportional to 186,177.63 and 401,871.38

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Solution

The third proportional to 186,177.63 and 401,871.38 is: 867,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,177.63 : 401,871.38 = 401,871.38 : x
  2. Step 2: Convert to fraction form
    186,177.63/401,871.38 = 401,871.38/x
  3. Step 3: Cross multiply
    186,177.63x = 401,871.38 × 401,871.38
  4. Step 4: Simplify right side
    186,177.63x = 161,500,602,044.39
  5. Step 5: Solve for x
    x = 161,500,602,044.39/186,177.63
  6. Step 6: Final answer
    x = 867,454.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.