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Finding the Third Proportional to 186,343.88 and 290,585.81

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Solution

The third proportional to 186,343.88 and 290,585.81 is: 453,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,343.88 : 290,585.81 = 290,585.81 : x
  2. Step 2: Convert to fraction form
    186,343.88/290,585.81 = 290,585.81/x
  3. Step 3: Cross multiply
    186,343.88x = 290,585.81 × 290,585.81
  4. Step 4: Simplify right side
    186,343.88x = 84,440,114,426.29
  5. Step 5: Solve for x
    x = 84,440,114,426.29/186,343.88
  6. Step 6: Final answer
    x = 453,141.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.