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Finding the Third Proportional to 185,946.75 and 401,409

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Solution

The third proportional to 185,946.75 and 401,409 is: 866,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946.75 : 401,409 = 401,409 : x
  2. Step 2: Convert to fraction form
    185,946.75/401,409 = 401,409/x
  3. Step 3: Cross multiply
    185,946.75x = 401,409 × 401,409
  4. Step 4: Simplify right side
    185,946.75x = 161,129,185,281
  5. Step 5: Solve for x
    x = 161,129,185,281/185,946.75
  6. Step 6: Final answer
    x = 866,534.02

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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.