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Finding the Third Proportional to 186,599.63 and 399,820.88

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Solution

The third proportional to 186,599.63 and 399,820.88 is: 856,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,599.63 : 399,820.88 = 399,820.88 : x
  2. Step 2: Convert to fraction form
    186,599.63/399,820.88 = 399,820.88/x
  3. Step 3: Cross multiply
    186,599.63x = 399,820.88 × 399,820.88
  4. Step 4: Simplify right side
    186,599.63x = 159,856,732,085.77
  5. Step 5: Solve for x
    x = 159,856,732,085.77/186,599.63
  6. Step 6: Final answer
    x = 856,683.03

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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.