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Finding the Third Proportional to 189,362.53 and 404,969.06

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Solution

The third proportional to 189,362.53 and 404,969.06 is: 866,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,362.53 : 404,969.06 = 404,969.06 : x
  2. Step 2: Convert to fraction form
    189,362.53/404,969.06 = 404,969.06/x
  3. Step 3: Cross multiply
    189,362.53x = 404,969.06 × 404,969.06
  4. Step 4: Simplify right side
    189,362.53x = 163,999,941,582.13
  5. Step 5: Solve for x
    x = 163,999,941,582.13/189,362.53
  6. Step 6: Final answer
    x = 866,063.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.